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Finding the Fourth Proportional to 12,807.92, 17,676.32 and 7,507.20

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Solution

The fourth proportional to 12,807.92, 17,676.32 and 7,507.20 is: 10,360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.92 : 17,676.32 = 7,507.20 : x
  2. Step 2: Convert to fraction form
    12,807.92/17,676.32 = 7,507.20/x
  3. Step 3: Cross multiply
    12,807.92x = 17,676.32 × 7,507.20
  4. Step 4: Simplify right side
    12,807.92x = 132,699,669.50
  5. Step 5: Solve for x
    x = 132,699,669.50/12,807.92
  6. Step 6: Final answer
    x = 10,360.75

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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.