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Finding the Fourth Proportional to 24,285, 36,403.18 and 9,473.54

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Solution

The fourth proportional to 24,285, 36,403.18 and 9,473.54 is: 14,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285 : 36,403.18 = 9,473.54 : x
  2. Step 2: Convert to fraction form
    24,285/36,403.18 = 9,473.54/x
  3. Step 3: Cross multiply
    24,285x = 36,403.18 × 9,473.54
  4. Step 4: Simplify right side
    24,285x = 344,866,981.86
  5. Step 5: Solve for x
    x = 344,866,981.86/24,285
  6. Step 6: Final answer
    x = 14,200.82

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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.