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Finding the Fourth Proportional to 16,576.80, 24,865.20 and 9,578.40

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Solution

The fourth proportional to 16,576.80, 24,865.20 and 9,578.40 is: 14,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.80 : 24,865.20 = 9,578.40 : x
  2. Step 2: Convert to fraction form
    16,576.80/24,865.20 = 9,578.40/x
  3. Step 3: Cross multiply
    16,576.80x = 24,865.20 × 9,578.40
  4. Step 4: Simplify right side
    16,576.80x = 238,168,831.68
  5. Step 5: Solve for x
    x = 238,168,831.68/16,576.80
  6. Step 6: Final answer
    x = 14,367.60

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.