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Finding the Fourth Proportional to 24,711.18, 37,056.13 and 7,840.29

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Solution

The fourth proportional to 24,711.18, 37,056.13 and 7,840.29 is: 11,757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.18 : 37,056.13 = 7,840.29 : x
  2. Step 2: Convert to fraction form
    24,711.18/37,056.13 = 7,840.29/x
  3. Step 3: Cross multiply
    24,711.18x = 37,056.13 × 7,840.29
  4. Step 4: Simplify right side
    24,711.18x = 290,530,968.94
  5. Step 5: Solve for x
    x = 290,530,968.94/24,711.18
  6. Step 6: Final answer
    x = 11,757.07

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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.