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Finding the Fourth Proportional to 22,024.44, 30,381.48 and 14,472

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Solution

The fourth proportional to 22,024.44, 30,381.48 and 14,472 is: 19,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.44 : 30,381.48 = 14,472 : x
  2. Step 2: Convert to fraction form
    22,024.44/30,381.48 = 14,472/x
  3. Step 3: Cross multiply
    22,024.44x = 30,381.48 × 14,472
  4. Step 4: Simplify right side
    22,024.44x = 439,680,778.56
  5. Step 5: Solve for x
    x = 439,680,778.56/22,024.44
  6. Step 6: Final answer
    x = 19,963.31

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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.