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Finding the Fourth Proportional to 25,716.88, 38,587.34 and 9,089.47

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Solution

The fourth proportional to 25,716.88, 38,587.34 and 9,089.47 is: 13,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,716.88 : 38,587.34 = 9,089.47 : x
  2. Step 2: Convert to fraction form
    25,716.88/38,587.34 = 9,089.47/x
  3. Step 3: Cross multiply
    25,716.88x = 38,587.34 × 9,089.47
  4. Step 4: Simplify right side
    25,716.88x = 350,738,469.31
  5. Step 5: Solve for x
    x = 350,738,469.31/25,716.88
  6. Step 6: Final answer
    x = 13,638.45

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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.