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Finding the Fourth Proportional to 25,888.89, 38,801.56 and 13,401.80

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Solution

The fourth proportional to 25,888.89, 38,801.56 and 13,401.80 is: 20,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,888.89 : 38,801.56 = 13,401.80 : x
  2. Step 2: Convert to fraction form
    25,888.89/38,801.56 = 13,401.80/x
  3. Step 3: Cross multiply
    25,888.89x = 38,801.56 × 13,401.80
  4. Step 4: Simplify right side
    25,888.89x = 520,010,870.50
  5. Step 5: Solve for x
    x = 520,010,870.50/25,888.89
  6. Step 6: Final answer
    x = 20,086.26

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Why These Related Problems?

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