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Finding the Fourth Proportional to 23,151.52, 34,740.24 and 12,766.24

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Solution

The fourth proportional to 23,151.52, 34,740.24 and 12,766.24 is: 19,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,151.52 : 34,740.24 = 12,766.24 : x
  2. Step 2: Convert to fraction form
    23,151.52/34,740.24 = 12,766.24/x
  3. Step 3: Cross multiply
    23,151.52x = 34,740.24 × 12,766.24
  4. Step 4: Simplify right side
    23,151.52x = 443,502,241.50
  5. Step 5: Solve for x
    x = 443,502,241.50/23,151.52
  6. Step 6: Final answer
    x = 19,156.51

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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.