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Finding the Fourth Proportional to 12,577.65, 18,874.26 and 7,315.13

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Solution

The fourth proportional to 12,577.65, 18,874.26 and 7,315.13 is: 10,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.65 : 18,874.26 = 7,315.13 : x
  2. Step 2: Convert to fraction form
    12,577.65/18,874.26 = 7,315.13/x
  3. Step 3: Cross multiply
    12,577.65x = 18,874.26 × 7,315.13
  4. Step 4: Simplify right side
    12,577.65x = 138,067,628.98
  5. Step 5: Solve for x
    x = 138,067,628.98/12,577.65
  6. Step 6: Final answer
    x = 10,977.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.