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Finding the Fourth Proportional to 12,565.91, 17,338.87 and 7,261.22

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Solution

The fourth proportional to 12,565.91, 17,338.87 and 7,261.22 is: 10,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.91 : 17,338.87 = 7,261.22 : x
  2. Step 2: Convert to fraction form
    12,565.91/17,338.87 = 7,261.22/x
  3. Step 3: Cross multiply
    12,565.91x = 17,338.87 × 7,261.22
  4. Step 4: Simplify right side
    12,565.91x = 125,901,272.00
  5. Step 5: Solve for x
    x = 125,901,272.00/12,565.91
  6. Step 6: Final answer
    x = 10,019.28

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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.