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Finding the Fourth Proportional to 25,552.97, 38,330.82 and 8,024.16

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Solution

The fourth proportional to 25,552.97, 38,330.82 and 8,024.16 is: 12,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,552.97 : 38,330.82 = 8,024.16 : x
  2. Step 2: Convert to fraction form
    25,552.97/38,330.82 = 8,024.16/x
  3. Step 3: Cross multiply
    25,552.97x = 38,330.82 × 8,024.16
  4. Step 4: Simplify right side
    25,552.97x = 307,572,776.35
  5. Step 5: Solve for x
    x = 307,572,776.35/25,552.97
  6. Step 6: Final answer
    x = 12,036.67

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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.