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Finding the Fourth Proportional to 16,534.24, 22,817.65 and 9,462.94

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Solution

The fourth proportional to 16,534.24, 22,817.65 and 9,462.94 is: 13,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.24 : 22,817.65 = 9,462.94 : x
  2. Step 2: Convert to fraction form
    16,534.24/22,817.65 = 9,462.94/x
  3. Step 3: Cross multiply
    16,534.24x = 22,817.65 × 9,462.94
  4. Step 4: Simplify right side
    16,534.24x = 215,921,915.15
  5. Step 5: Solve for x
    x = 215,921,915.15/16,534.24
  6. Step 6: Final answer
    x = 13,059.08

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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.