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Finding the Fourth Proportional to 25,726.80, 38,590.20 and 13,229.40

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Solution

The fourth proportional to 25,726.80, 38,590.20 and 13,229.40 is: 19,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,726.80 : 38,590.20 = 13,229.40 : x
  2. Step 2: Convert to fraction form
    25,726.80/38,590.20 = 13,229.40/x
  3. Step 3: Cross multiply
    25,726.80x = 38,590.20 × 13,229.40
  4. Step 4: Simplify right side
    25,726.80x = 510,525,191.88
  5. Step 5: Solve for x
    x = 510,525,191.88/25,726.80
  6. Step 6: Final answer
    x = 19,844.10

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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.