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Finding the Fourth Proportional to 25,689.75, 38,535.43 and 6,969.74

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Solution

The fourth proportional to 25,689.75, 38,535.43 and 6,969.74 is: 10,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,689.75 : 38,535.43 = 6,969.74 : x
  2. Step 2: Convert to fraction form
    25,689.75/38,535.43 = 6,969.74/x
  3. Step 3: Cross multiply
    25,689.75x = 38,535.43 × 6,969.74
  4. Step 4: Simplify right side
    25,689.75x = 268,581,735.21
  5. Step 5: Solve for x
    x = 268,581,735.21/25,689.75
  6. Step 6: Final answer
    x = 10,454.82

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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.