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Finding the Fourth Proportional to 23,142.40, 34,713.60 and 6,502.40

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Solution

The fourth proportional to 23,142.40, 34,713.60 and 6,502.40 is: 9,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.40 : 34,713.60 = 6,502.40 : x
  2. Step 2: Convert to fraction form
    23,142.40/34,713.60 = 6,502.40/x
  3. Step 3: Cross multiply
    23,142.40x = 34,713.60 × 6,502.40
  4. Step 4: Simplify right side
    23,142.40x = 225,721,712.64
  5. Step 5: Solve for x
    x = 225,721,712.64/23,142.40
  6. Step 6: Final answer
    x = 9,753.60

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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.