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Finding the Fourth Proportional to 16,042.40, 24,061.72 and 6,174.78

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Solution

The fourth proportional to 16,042.40, 24,061.72 and 6,174.78 is: 9,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.40 : 24,061.72 = 6,174.78 : x
  2. Step 2: Convert to fraction form
    16,042.40/24,061.72 = 6,174.78/x
  3. Step 3: Cross multiply
    16,042.40x = 24,061.72 × 6,174.78
  4. Step 4: Simplify right side
    16,042.40x = 148,575,827.42
  5. Step 5: Solve for x
    x = 148,575,827.42/16,042.40
  6. Step 6: Final answer
    x = 9,261.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.