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Finding the Fourth Proportional to 12,726.86, 17,562.80 and 7,061.49

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Solution

The fourth proportional to 12,726.86, 17,562.80 and 7,061.49 is: 9,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.86 : 17,562.80 = 7,061.49 : x
  2. Step 2: Convert to fraction form
    12,726.86/17,562.80 = 7,061.49/x
  3. Step 3: Cross multiply
    12,726.86x = 17,562.80 × 7,061.49
  4. Step 4: Simplify right side
    12,726.86x = 124,019,536.91
  5. Step 5: Solve for x
    x = 124,019,536.91/12,726.86
  6. Step 6: Final answer
    x = 9,744.71

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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.