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Finding the Fourth Proportional to 25,888.85, 38,833.36 and 7,877.25

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Solution

The fourth proportional to 25,888.85, 38,833.36 and 7,877.25 is: 11,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,888.85 : 38,833.36 = 7,877.25 : x
  2. Step 2: Convert to fraction form
    25,888.85/38,833.36 = 7,877.25/x
  3. Step 3: Cross multiply
    25,888.85x = 38,833.36 × 7,877.25
  4. Step 4: Simplify right side
    25,888.85x = 305,900,109.68
  5. Step 5: Solve for x
    x = 305,900,109.68/25,888.85
  6. Step 6: Final answer
    x = 11,815.90

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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.