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Finding the Fourth Proportional to 24,774.86, 34,194.24 and 14,708.85

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Solution

The fourth proportional to 24,774.86, 34,194.24 and 14,708.85 is: 20,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.86 : 34,194.24 = 14,708.85 : x
  2. Step 2: Convert to fraction form
    24,774.86/34,194.24 = 14,708.85/x
  3. Step 3: Cross multiply
    24,774.86x = 34,194.24 × 14,708.85
  4. Step 4: Simplify right side
    24,774.86x = 502,957,947.02
  5. Step 5: Solve for x
    x = 502,957,947.02/24,774.86
  6. Step 6: Final answer
    x = 20,301.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.