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Finding the Fourth Proportional to 25,728.82, 38,597.54 and 8,861.16

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Solution

The fourth proportional to 25,728.82, 38,597.54 and 8,861.16 is: 13,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.82 : 38,597.54 = 8,861.16 : x
  2. Step 2: Convert to fraction form
    25,728.82/38,597.54 = 8,861.16/x
  3. Step 3: Cross multiply
    25,728.82x = 38,597.54 × 8,861.16
  4. Step 4: Simplify right side
    25,728.82x = 342,018,977.55
  5. Step 5: Solve for x
    x = 342,018,977.55/25,728.82
  6. Step 6: Final answer
    x = 13,293.22

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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.