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Finding the Fourth Proportional to 12,726.41, 17,562.32 and 7,061.17

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Solution

The fourth proportional to 12,726.41, 17,562.32 and 7,061.17 is: 9,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.41 : 17,562.32 = 7,061.17 : x
  2. Step 2: Convert to fraction form
    12,726.41/17,562.32 = 7,061.17/x
  3. Step 3: Cross multiply
    12,726.41x = 17,562.32 × 7,061.17
  4. Step 4: Simplify right side
    12,726.41x = 124,010,447.90
  5. Step 5: Solve for x
    x = 124,010,447.90/12,726.41
  6. Step 6: Final answer
    x = 9,744.34

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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.