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Finding the Fourth Proportional to 17,656.87, 24,363.84 and 10,102

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Solution

The fourth proportional to 17,656.87, 24,363.84 and 10,102 is: 13,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.87 : 24,363.84 = 10,102 : x
  2. Step 2: Convert to fraction form
    17,656.87/24,363.84 = 10,102/x
  3. Step 3: Cross multiply
    17,656.87x = 24,363.84 × 10,102
  4. Step 4: Simplify right side
    17,656.87x = 246,123,511.68
  5. Step 5: Solve for x
    x = 246,123,511.68/17,656.87
  6. Step 6: Final answer
    x = 13,939.25

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