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Finding the Fourth Proportional to 24,332, 36,500.34 and 11,188.04

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Solution

The fourth proportional to 24,332, 36,500.34 and 11,188.04 is: 16,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332 : 36,500.34 = 11,188.04 : x
  2. Step 2: Convert to fraction form
    24,332/36,500.34 = 11,188.04/x
  3. Step 3: Cross multiply
    24,332x = 36,500.34 × 11,188.04
  4. Step 4: Simplify right side
    24,332x = 408,367,263.93
  5. Step 5: Solve for x
    x = 408,367,263.93/24,332
  6. Step 6: Final answer
    x = 16,783.14

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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.