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Finding the Fourth Proportional to 20,726.40, 31,109.84 and 14,809.92

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Solution

The fourth proportional to 20,726.40, 31,109.84 and 14,809.92 is: 22,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,726.40 : 31,109.84 = 14,809.92 : x
  2. Step 2: Convert to fraction form
    20,726.40/31,109.84 = 14,809.92/x
  3. Step 3: Cross multiply
    20,726.40x = 31,109.84 × 14,809.92
  4. Step 4: Simplify right side
    20,726.40x = 460,734,241.61
  5. Step 5: Solve for x
    x = 460,734,241.61/20,726.40
  6. Step 6: Final answer
    x = 22,229.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.