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Finding the Fourth Proportional to 12,046.52, 16,642.52 and 9,629.12

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Solution

The fourth proportional to 12,046.52, 16,642.52 and 9,629.12 is: 13,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.52 : 16,642.52 = 9,629.12 : x
  2. Step 2: Convert to fraction form
    12,046.52/16,642.52 = 9,629.12/x
  3. Step 3: Cross multiply
    12,046.52x = 16,642.52 × 9,629.12
  4. Step 4: Simplify right side
    12,046.52x = 160,252,822.18
  5. Step 5: Solve for x
    x = 160,252,822.18/12,046.52
  6. Step 6: Final answer
    x = 13,302.83

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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.