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Finding the Fourth Proportional to 24,277.86, 36,425.52 and 9,497.40

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Solution

The fourth proportional to 24,277.86, 36,425.52 and 9,497.40 is: 14,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.86 : 36,425.52 = 9,497.40 : x
  2. Step 2: Convert to fraction form
    24,277.86/36,425.52 = 9,497.40/x
  3. Step 3: Cross multiply
    24,277.86x = 36,425.52 × 9,497.40
  4. Step 4: Simplify right side
    24,277.86x = 345,947,733.65
  5. Step 5: Solve for x
    x = 345,947,733.65/24,277.86
  6. Step 6: Final answer
    x = 14,249.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.