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Finding the Fourth Proportional to 12,332.61, 18,503.78 and 5,402.25

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Solution

The fourth proportional to 12,332.61, 18,503.78 and 5,402.25 is: 8,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.61 : 18,503.78 = 5,402.25 : x
  2. Step 2: Convert to fraction form
    12,332.61/18,503.78 = 5,402.25/x
  3. Step 3: Cross multiply
    12,332.61x = 18,503.78 × 5,402.25
  4. Step 4: Simplify right side
    12,332.61x = 99,962,018.49
  5. Step 5: Solve for x
    x = 99,962,018.49/12,332.61
  6. Step 6: Final answer
    x = 8,105.50

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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.