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Finding the Fourth Proportional to 25,408.40, 38,114.04 and 7,880.72

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Solution

The fourth proportional to 25,408.40, 38,114.04 and 7,880.72 is: 11,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.40 : 38,114.04 = 7,880.72 : x
  2. Step 2: Convert to fraction form
    25,408.40/38,114.04 = 7,880.72/x
  3. Step 3: Cross multiply
    25,408.40x = 38,114.04 × 7,880.72
  4. Step 4: Simplify right side
    25,408.40x = 300,366,077.31
  5. Step 5: Solve for x
    x = 300,366,077.31/25,408.40
  6. Step 6: Final answer
    x = 11,821.53

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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.