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Finding the Fourth Proportional to 12,251.30, 18,362.55 and 6,404.90

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Solution

The fourth proportional to 12,251.30, 18,362.55 and 6,404.90 is: 9,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.30 : 18,362.55 = 6,404.90 : x
  2. Step 2: Convert to fraction form
    12,251.30/18,362.55 = 6,404.90/x
  3. Step 3: Cross multiply
    12,251.30x = 18,362.55 × 6,404.90
  4. Step 4: Simplify right side
    12,251.30x = 117,610,296.50
  5. Step 5: Solve for x
    x = 117,610,296.50/12,251.30
  6. Step 6: Final answer
    x = 9,599.82

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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.