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Finding the Fourth Proportional to 16,312.34, 22,512.59 and 9,142.22

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Solution

The fourth proportional to 16,312.34, 22,512.59 and 9,142.22 is: 12,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.34 : 22,512.59 = 9,142.22 : x
  2. Step 2: Convert to fraction form
    16,312.34/22,512.59 = 9,142.22/x
  3. Step 3: Cross multiply
    16,312.34x = 22,512.59 × 9,142.22
  4. Step 4: Simplify right side
    16,312.34x = 205,815,104.62
  5. Step 5: Solve for x
    x = 205,815,104.62/16,312.34
  6. Step 6: Final answer
    x = 12,617.14

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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.