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Finding the Fourth Proportional to 24,277.12, 36,404.16 and 12,578.56

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Solution

The fourth proportional to 24,277.12, 36,404.16 and 12,578.56 is: 18,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.12 : 36,404.16 = 12,578.56 : x
  2. Step 2: Convert to fraction form
    24,277.12/36,404.16 = 12,578.56/x
  3. Step 3: Cross multiply
    24,277.12x = 36,404.16 × 12,578.56
  4. Step 4: Simplify right side
    24,277.12x = 457,911,910.81
  5. Step 5: Solve for x
    x = 457,911,910.81/24,277.12
  6. Step 6: Final answer
    x = 18,861.87

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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.