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Finding the Fourth Proportional to 25,866.88, 38,780.66 and 13,378.96

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Solution

The fourth proportional to 25,866.88, 38,780.66 and 13,378.96 is: 20,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866.88 : 38,780.66 = 13,378.96 : x
  2. Step 2: Convert to fraction form
    25,866.88/38,780.66 = 13,378.96/x
  3. Step 3: Cross multiply
    25,866.88x = 38,780.66 × 13,378.96
  4. Step 4: Simplify right side
    25,866.88x = 518,844,687.44
  5. Step 5: Solve for x
    x = 518,844,687.44/25,866.88
  6. Step 6: Final answer
    x = 20,058.26

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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.