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Finding the Fourth Proportional to 12,129.84, 18,195.27 and 4,233.15

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Solution

The fourth proportional to 12,129.84, 18,195.27 and 4,233.15 is: 6,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.84 : 18,195.27 = 4,233.15 : x
  2. Step 2: Convert to fraction form
    12,129.84/18,195.27 = 4,233.15/x
  3. Step 3: Cross multiply
    12,129.84x = 18,195.27 × 4,233.15
  4. Step 4: Simplify right side
    12,129.84x = 77,023,307.20
  5. Step 5: Solve for x
    x = 77,023,307.20/12,129.84
  6. Step 6: Final answer
    x = 6,349.90

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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.