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Finding the Fourth Proportional to 25,534.72, 38,306.94 and 7,999.84

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Solution

The fourth proportional to 25,534.72, 38,306.94 and 7,999.84 is: 12,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534.72 : 38,306.94 = 7,999.84 : x
  2. Step 2: Convert to fraction form
    25,534.72/38,306.94 = 7,999.84/x
  3. Step 3: Cross multiply
    25,534.72x = 38,306.94 × 7,999.84
  4. Step 4: Simplify right side
    25,534.72x = 306,449,390.89
  5. Step 5: Solve for x
    x = 306,449,390.89/25,534.72
  6. Step 6: Final answer
    x = 12,001.28

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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.