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Finding the Fourth Proportional to 24,658.86, 34,025.76 and 14,046.24

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Solution

The fourth proportional to 24,658.86, 34,025.76 and 14,046.24 is: 19,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.86 : 34,025.76 = 14,046.24 : x
  2. Step 2: Convert to fraction form
    24,658.86/34,025.76 = 14,046.24/x
  3. Step 3: Cross multiply
    24,658.86x = 34,025.76 × 14,046.24
  4. Step 4: Simplify right side
    24,658.86x = 477,933,991.14
  5. Step 5: Solve for x
    x = 477,933,991.14/24,658.86
  6. Step 6: Final answer
    x = 19,381.84

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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.