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Finding the Fourth Proportional to 16,505.90, 22,776.95 and 9,432.17

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Solution

The fourth proportional to 16,505.90, 22,776.95 and 9,432.17 is: 13,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.90 : 22,776.95 = 9,432.17 : x
  2. Step 2: Convert to fraction form
    16,505.90/22,776.95 = 9,432.17/x
  3. Step 3: Cross multiply
    16,505.90x = 22,776.95 × 9,432.17
  4. Step 4: Simplify right side
    16,505.90x = 214,835,974.18
  5. Step 5: Solve for x
    x = 214,835,974.18/16,505.90
  6. Step 6: Final answer
    x = 13,015.71

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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.