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Finding the Fourth Proportional to 22,254.50, 30,711.24 and 13,871

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Solution

The fourth proportional to 22,254.50, 30,711.24 and 13,871 is: 19,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,254.50 : 30,711.24 = 13,871 : x
  2. Step 2: Convert to fraction form
    22,254.50/30,711.24 = 13,871/x
  3. Step 3: Cross multiply
    22,254.50x = 30,711.24 × 13,871
  4. Step 4: Simplify right side
    22,254.50x = 425,995,610.04
  5. Step 5: Solve for x
    x = 425,995,610.04/22,254.50
  6. Step 6: Final answer
    x = 19,142.00

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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.