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Finding the Fourth Proportional to 16,531.96, 22,813.02 and 9,817.24

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Solution

The fourth proportional to 16,531.96, 22,813.02 and 9,817.24 is: 13,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531.96 : 22,813.02 = 9,817.24 : x
  2. Step 2: Convert to fraction form
    16,531.96/22,813.02 = 9,817.24/x
  3. Step 3: Cross multiply
    16,531.96x = 22,813.02 × 9,817.24
  4. Step 4: Simplify right side
    16,531.96x = 223,960,892.46
  5. Step 5: Solve for x
    x = 223,960,892.46/16,531.96
  6. Step 6: Final answer
    x = 13,547.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.