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Finding the Fourth Proportional to 16,174.54, 22,319.58 and 9,102.16

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Solution

The fourth proportional to 16,174.54, 22,319.58 and 9,102.16 is: 12,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.54 : 22,319.58 = 9,102.16 : x
  2. Step 2: Convert to fraction form
    16,174.54/22,319.58 = 9,102.16/x
  3. Step 3: Cross multiply
    16,174.54x = 22,319.58 × 9,102.16
  4. Step 4: Simplify right side
    16,174.54x = 203,156,388.29
  5. Step 5: Solve for x
    x = 203,156,388.29/16,174.54
  6. Step 6: Final answer
    x = 12,560.26

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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.