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Finding the Fourth Proportional to 16,384.40, 24,576.60 and 4,698.80

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Solution

The fourth proportional to 16,384.40, 24,576.60 and 4,698.80 is: 7,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.40 : 24,576.60 = 4,698.80 : x
  2. Step 2: Convert to fraction form
    16,384.40/24,576.60 = 4,698.80/x
  3. Step 3: Cross multiply
    16,384.40x = 24,576.60 × 4,698.80
  4. Step 4: Simplify right side
    16,384.40x = 115,480,528.08
  5. Step 5: Solve for x
    x = 115,480,528.08/16,384.40
  6. Step 6: Final answer
    x = 7,048.20

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