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Finding the Fourth Proportional to 25,527.96, 38,291.96 and 7,999.16

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Solution

The fourth proportional to 25,527.96, 38,291.96 and 7,999.16 is: 11,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,527.96 : 38,291.96 = 7,999.16 : x
  2. Step 2: Convert to fraction form
    25,527.96/38,291.96 = 7,999.16/x
  3. Step 3: Cross multiply
    25,527.96x = 38,291.96 × 7,999.16
  4. Step 4: Simplify right side
    25,527.96x = 306,303,474.76
  5. Step 5: Solve for x
    x = 306,303,474.76/25,527.96
  6. Step 6: Final answer
    x = 11,998.74

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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.