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Finding the Fourth Proportional to 25,411.05, 38,116.24 and 7,880.90

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Solution

The fourth proportional to 25,411.05, 38,116.24 and 7,880.90 is: 11,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,411.05 : 38,116.24 = 7,880.90 : x
  2. Step 2: Convert to fraction form
    25,411.05/38,116.24 = 7,880.90/x
  3. Step 3: Cross multiply
    25,411.05x = 38,116.24 × 7,880.90
  4. Step 4: Simplify right side
    25,411.05x = 300,390,065.53
  5. Step 5: Solve for x
    x = 300,390,065.53/25,411.05
  6. Step 6: Final answer
    x = 11,821.24

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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.