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Finding the Fourth Proportional to 17,856.62, 24,643.61 and 9,901.41

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Solution

The fourth proportional to 17,856.62, 24,643.61 and 9,901.41 is: 13,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.62 : 24,643.61 = 9,901.41 : x
  2. Step 2: Convert to fraction form
    17,856.62/24,643.61 = 9,901.41/x
  3. Step 3: Cross multiply
    17,856.62x = 24,643.61 × 9,901.41
  4. Step 4: Simplify right side
    17,856.62x = 244,006,381.70
  5. Step 5: Solve for x
    x = 244,006,381.70/17,856.62
  6. Step 6: Final answer
    x = 13,664.76

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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.