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Finding the Fourth Proportional to 24,299.80, 36,454.64 and 10,259.86

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Solution

The fourth proportional to 24,299.80, 36,454.64 and 10,259.86 is: 15,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,299.80 : 36,454.64 = 10,259.86 : x
  2. Step 2: Convert to fraction form
    24,299.80/36,454.64 = 10,259.86/x
  3. Step 3: Cross multiply
    24,299.80x = 36,454.64 × 10,259.86
  4. Step 4: Simplify right side
    24,299.80x = 374,019,502.75
  5. Step 5: Solve for x
    x = 374,019,502.75/24,299.80
  6. Step 6: Final answer
    x = 15,391.88

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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.