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Finding the Fourth Proportional to 16,645.75, 22,971.81 and 9,572.17

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Solution

The fourth proportional to 16,645.75, 22,971.81 and 9,572.17 is: 13,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645.75 : 22,971.81 = 9,572.17 : x
  2. Step 2: Convert to fraction form
    16,645.75/22,971.81 = 9,572.17/x
  3. Step 3: Cross multiply
    16,645.75x = 22,971.81 × 9,572.17
  4. Step 4: Simplify right side
    16,645.75x = 219,890,092.07
  5. Step 5: Solve for x
    x = 219,890,092.07/16,645.75
  6. Step 6: Final answer
    x = 13,209.99

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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.