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Finding the Fourth Proportional to 16,614.64, 24,921.78 and 9,605.20

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Solution

The fourth proportional to 16,614.64, 24,921.78 and 9,605.20 is: 14,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,614.64 : 24,921.78 = 9,605.20 : x
  2. Step 2: Convert to fraction form
    16,614.64/24,921.78 = 9,605.20/x
  3. Step 3: Cross multiply
    16,614.64x = 24,921.78 × 9,605.20
  4. Step 4: Simplify right side
    16,614.64x = 239,378,681.26
  5. Step 5: Solve for x
    x = 239,378,681.26/16,614.64
  6. Step 6: Final answer
    x = 14,407.70

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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.