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Finding the Fourth Proportional to 16,657.80, 24,986.70 and 16,384.43

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Solution

The fourth proportional to 16,657.80, 24,986.70 and 16,384.43 is: 24,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.80 : 24,986.70 = 16,384.43 : x
  2. Step 2: Convert to fraction form
    16,657.80/24,986.70 = 16,384.43/x
  3. Step 3: Cross multiply
    16,657.80x = 24,986.70 × 16,384.43
  4. Step 4: Simplify right side
    16,657.80x = 409,392,712.15
  5. Step 5: Solve for x
    x = 409,392,712.15/16,657.80
  6. Step 6: Final answer
    x = 24,576.64

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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.