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Finding the Fourth Proportional to 25,658, 38,488.48 and 7,191.44

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Solution

The fourth proportional to 25,658, 38,488.48 and 7,191.44 is: 10,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,658 : 38,488.48 = 7,191.44 : x
  2. Step 2: Convert to fraction form
    25,658/38,488.48 = 7,191.44/x
  3. Step 3: Cross multiply
    25,658x = 38,488.48 × 7,191.44
  4. Step 4: Simplify right side
    25,658x = 276,787,594.61
  5. Step 5: Solve for x
    x = 276,787,594.61/25,658
  6. Step 6: Final answer
    x = 10,787.57

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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.