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Finding the Fourth Proportional to 25,911.47, 38,868.42 and 8,382.67

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Solution

The fourth proportional to 25,911.47, 38,868.42 and 8,382.67 is: 12,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,911.47 : 38,868.42 = 8,382.67 : x
  2. Step 2: Convert to fraction form
    25,911.47/38,868.42 = 8,382.67/x
  3. Step 3: Cross multiply
    25,911.47x = 38,868.42 × 8,382.67
  4. Step 4: Simplify right side
    25,911.47x = 325,821,138.28
  5. Step 5: Solve for x
    x = 325,821,138.28/25,911.47
  6. Step 6: Final answer
    x = 12,574.40

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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.