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Finding the Fourth Proportional to 12,586.24, 18,876.57 and 7,638.13

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Solution

The fourth proportional to 12,586.24, 18,876.57 and 7,638.13 is: 11,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.24 : 18,876.57 = 7,638.13 : x
  2. Step 2: Convert to fraction form
    12,586.24/18,876.57 = 7,638.13/x
  3. Step 3: Cross multiply
    12,586.24x = 18,876.57 × 7,638.13
  4. Step 4: Simplify right side
    12,586.24x = 144,181,695.61
  5. Step 5: Solve for x
    x = 144,181,695.61/12,586.24
  6. Step 6: Final answer
    x = 11,455.50

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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.