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Finding the Fourth Proportional to 16,402.68, 22,635.70 and 9,329.08

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Solution

The fourth proportional to 16,402.68, 22,635.70 and 9,329.08 is: 12,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.68 : 22,635.70 = 9,329.08 : x
  2. Step 2: Convert to fraction form
    16,402.68/22,635.70 = 9,329.08/x
  3. Step 3: Cross multiply
    16,402.68x = 22,635.70 × 9,329.08
  4. Step 4: Simplify right side
    16,402.68x = 211,170,256.16
  5. Step 5: Solve for x
    x = 211,170,256.16/16,402.68
  6. Step 6: Final answer
    x = 12,874.13

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