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Finding the Fourth Proportional to 29,424.57, 44,135.82 and 9,702.60

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Solution

The fourth proportional to 29,424.57, 44,135.82 and 9,702.60 is: 14,553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,424.57 : 44,135.82 = 9,702.60 : x
  2. Step 2: Convert to fraction form
    29,424.57/44,135.82 = 9,702.60/x
  3. Step 3: Cross multiply
    29,424.57x = 44,135.82 × 9,702.60
  4. Step 4: Simplify right side
    29,424.57x = 428,232,207.13
  5. Step 5: Solve for x
    x = 428,232,207.13/29,424.57
  6. Step 6: Final answer
    x = 14,553.56

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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.