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Finding the Fourth Proportional to 24,277.25, 36,408.70 and 12,423.71

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Solution

The fourth proportional to 24,277.25, 36,408.70 and 12,423.71 is: 18,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.25 : 36,408.70 = 12,423.71 : x
  2. Step 2: Convert to fraction form
    24,277.25/36,408.70 = 12,423.71/x
  3. Step 3: Cross multiply
    24,277.25x = 36,408.70 × 12,423.71
  4. Step 4: Simplify right side
    24,277.25x = 452,331,130.28
  5. Step 5: Solve for x
    x = 452,331,130.28/24,277.25
  6. Step 6: Final answer
    x = 18,631.89

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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.