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Finding the Fourth Proportional to 12,007.31, 16,569.98 and 6,629.75

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Solution

The fourth proportional to 12,007.31, 16,569.98 and 6,629.75 is: 9,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.31 : 16,569.98 = 6,629.75 : x
  2. Step 2: Convert to fraction form
    12,007.31/16,569.98 = 6,629.75/x
  3. Step 3: Cross multiply
    12,007.31x = 16,569.98 × 6,629.75
  4. Step 4: Simplify right side
    12,007.31x = 109,854,833.20
  5. Step 5: Solve for x
    x = 109,854,833.20/12,007.31
  6. Step 6: Final answer
    x = 9,149.00

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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.