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Finding the Fourth Proportional to 22,785, 34,153.98 and 8,741.76

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Solution

The fourth proportional to 22,785, 34,153.98 and 8,741.76 is: 13,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,785 : 34,153.98 = 8,741.76 : x
  2. Step 2: Convert to fraction form
    22,785/34,153.98 = 8,741.76/x
  3. Step 3: Cross multiply
    22,785x = 34,153.98 × 8,741.76
  4. Step 4: Simplify right side
    22,785x = 298,565,896.20
  5. Step 5: Solve for x
    x = 298,565,896.20/22,785
  6. Step 6: Final answer
    x = 13,103.62

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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.