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Finding the Fourth Proportional to 14,397.18, 19,868.80 and 8,024.20

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Solution

The fourth proportional to 14,397.18, 19,868.80 and 8,024.20 is: 11,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.18 : 19,868.80 = 8,024.20 : x
  2. Step 2: Convert to fraction form
    14,397.18/19,868.80 = 8,024.20/x
  3. Step 3: Cross multiply
    14,397.18x = 19,868.80 × 8,024.20
  4. Step 4: Simplify right side
    14,397.18x = 159,431,224.96
  5. Step 5: Solve for x
    x = 159,431,224.96/14,397.18
  6. Step 6: Final answer
    x = 11,073.78

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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.