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Finding the Fourth Proportional to 12,001.44, 16,562.56 and 8,024.16

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Solution

The fourth proportional to 12,001.44, 16,562.56 and 8,024.16 is: 11,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.44 : 16,562.56 = 8,024.16 : x
  2. Step 2: Convert to fraction form
    12,001.44/16,562.56 = 8,024.16/x
  3. Step 3: Cross multiply
    12,001.44x = 16,562.56 × 8,024.16
  4. Step 4: Simplify right side
    12,001.44x = 132,900,631.45
  5. Step 5: Solve for x
    x = 132,900,631.45/12,001.44
  6. Step 6: Final answer
    x = 11,073.72

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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.