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Finding the Fourth Proportional to 22,856.49, 31,543.56 and 12,785.87

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Solution

The fourth proportional to 22,856.49, 31,543.56 and 12,785.87 is: 17,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.49 : 31,543.56 = 12,785.87 : x
  2. Step 2: Convert to fraction form
    22,856.49/31,543.56 = 12,785.87/x
  3. Step 3: Cross multiply
    22,856.49x = 31,543.56 × 12,785.87
  4. Step 4: Simplify right side
    22,856.49x = 403,311,699.78
  5. Step 5: Solve for x
    x = 403,311,699.78/22,856.49
  6. Step 6: Final answer
    x = 17,645.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.