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Finding the Fourth Proportional to 16,537.20, 22,820.94 and 9,463.17

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Solution

The fourth proportional to 16,537.20, 22,820.94 and 9,463.17 is: 13,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.20 : 22,820.94 = 9,463.17 : x
  2. Step 2: Convert to fraction form
    16,537.20/22,820.94 = 9,463.17/x
  3. Step 3: Cross multiply
    16,537.20x = 22,820.94 × 9,463.17
  4. Step 4: Simplify right side
    16,537.20x = 215,958,434.78
  5. Step 5: Solve for x
    x = 215,958,434.78/16,537.20
  6. Step 6: Final answer
    x = 13,058.95

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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.