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Finding the Fourth Proportional to 25,340.46, 34,969.74 and 14,162.46

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Solution

The fourth proportional to 25,340.46, 34,969.74 and 14,162.46 is: 19,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,340.46 : 34,969.74 = 14,162.46 : x
  2. Step 2: Convert to fraction form
    25,340.46/34,969.74 = 14,162.46/x
  3. Step 3: Cross multiply
    25,340.46x = 34,969.74 × 14,162.46
  4. Step 4: Simplify right side
    25,340.46x = 495,257,543.96
  5. Step 5: Solve for x
    x = 495,257,543.96/25,340.46
  6. Step 6: Final answer
    x = 19,544.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.