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Finding the Fourth Proportional to 23,148.74, 34,712.74 and 13,793.18

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Solution

The fourth proportional to 23,148.74, 34,712.74 and 13,793.18 is: 20,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,148.74 : 34,712.74 = 13,793.18 : x
  2. Step 2: Convert to fraction form
    23,148.74/34,712.74 = 13,793.18/x
  3. Step 3: Cross multiply
    23,148.74x = 34,712.74 × 13,793.18
  4. Step 4: Simplify right side
    23,148.74x = 478,799,071.11
  5. Step 5: Solve for x
    x = 478,799,071.11/23,148.74
  6. Step 6: Final answer
    x = 20,683.59

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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.