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Finding the Fourth Proportional to 12,720.66, 17,554.23 and 7,415.97

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Solution

The fourth proportional to 12,720.66, 17,554.23 and 7,415.97 is: 10,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.66 : 17,554.23 = 7,415.97 : x
  2. Step 2: Convert to fraction form
    12,720.66/17,554.23 = 7,415.97/x
  3. Step 3: Cross multiply
    12,720.66x = 17,554.23 × 7,415.97
  4. Step 4: Simplify right side
    12,720.66x = 130,181,643.05
  5. Step 5: Solve for x
    x = 130,181,643.05/12,720.66
  6. Step 6: Final answer
    x = 10,233.87

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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.