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Finding the Fourth Proportional to 25,689.41, 38,534.91 and 6,969.38

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Solution

The fourth proportional to 25,689.41, 38,534.91 and 6,969.38 is: 10,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,689.41 : 38,534.91 = 6,969.38 : x
  2. Step 2: Convert to fraction form
    25,689.41/38,534.91 = 6,969.38/x
  3. Step 3: Cross multiply
    25,689.41x = 38,534.91 × 6,969.38
  4. Step 4: Simplify right side
    25,689.41x = 268,564,238.38
  5. Step 5: Solve for x
    x = 268,564,238.38/25,689.41
  6. Step 6: Final answer
    x = 10,454.28

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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.