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Finding the Fourth Proportional to 12,807.68, 17,676.24 and 7,507.04

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Solution

The fourth proportional to 12,807.68, 17,676.24 and 7,507.04 is: 10,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.68 : 17,676.24 = 7,507.04 : x
  2. Step 2: Convert to fraction form
    12,807.68/17,676.24 = 7,507.04/x
  3. Step 3: Cross multiply
    12,807.68x = 17,676.24 × 7,507.04
  4. Step 4: Simplify right side
    12,807.68x = 132,696,240.73
  5. Step 5: Solve for x
    x = 132,696,240.73/12,807.68
  6. Step 6: Final answer
    x = 10,360.68

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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.