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Finding the Fourth Proportional to 12,001.68, 16,560.12 and 6,966.48

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Solution

The fourth proportional to 12,001.68, 16,560.12 and 6,966.48 is: 9,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.68 : 16,560.12 = 6,966.48 : x
  2. Step 2: Convert to fraction form
    12,001.68/16,560.12 = 6,966.48/x
  3. Step 3: Cross multiply
    12,001.68x = 16,560.12 × 6,966.48
  4. Step 4: Simplify right side
    12,001.68x = 115,365,744.78
  5. Step 5: Solve for x
    x = 115,365,744.78/12,001.68
  6. Step 6: Final answer
    x = 9,612.47

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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.