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Finding the Fourth Proportional to 14,258.31, 21,381.99 and 9,862.44

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Solution

The fourth proportional to 14,258.31, 21,381.99 and 9,862.44 is: 14,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.31 : 21,381.99 = 9,862.44 : x
  2. Step 2: Convert to fraction form
    14,258.31/21,381.99 = 9,862.44/x
  3. Step 3: Cross multiply
    14,258.31x = 21,381.99 × 9,862.44
  4. Step 4: Simplify right side
    14,258.31x = 210,878,593.46
  5. Step 5: Solve for x
    x = 210,878,593.46/14,258.31
  6. Step 6: Final answer
    x = 14,789.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.