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Finding the Fourth Proportional to 15,726.54, 21,707.96 and 9,761.70

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Solution

The fourth proportional to 15,726.54, 21,707.96 and 9,761.70 is: 13,474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.54 : 21,707.96 = 9,761.70 : x
  2. Step 2: Convert to fraction form
    15,726.54/21,707.96 = 9,761.70/x
  3. Step 3: Cross multiply
    15,726.54x = 21,707.96 × 9,761.70
  4. Step 4: Simplify right side
    15,726.54x = 211,906,593.13
  5. Step 5: Solve for x
    x = 211,906,593.13/15,726.54
  6. Step 6: Final answer
    x = 13,474.46

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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.