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Finding the Fourth Proportional to 17,856.33, 24,643.20 and 9,901.14

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Solution

The fourth proportional to 17,856.33, 24,643.20 and 9,901.14 is: 13,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.33 : 24,643.20 = 9,901.14 : x
  2. Step 2: Convert to fraction form
    17,856.33/24,643.20 = 9,901.14/x
  3. Step 3: Cross multiply
    17,856.33x = 24,643.20 × 9,901.14
  4. Step 4: Simplify right side
    17,856.33x = 243,995,773.25
  5. Step 5: Solve for x
    x = 243,995,773.25/17,856.33
  6. Step 6: Final answer
    x = 13,664.39

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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.