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Finding the Fourth Proportional to 25,943.26, 38,920.35 and 8,411.72

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Solution

The fourth proportional to 25,943.26, 38,920.35 and 8,411.72 is: 12,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,943.26 : 38,920.35 = 8,411.72 : x
  2. Step 2: Convert to fraction form
    25,943.26/38,920.35 = 8,411.72/x
  3. Step 3: Cross multiply
    25,943.26x = 38,920.35 × 8,411.72
  4. Step 4: Simplify right side
    25,943.26x = 327,387,069.40
  5. Step 5: Solve for x
    x = 327,387,069.40/25,943.26
  6. Step 6: Final answer
    x = 12,619.35

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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.