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Finding the Fourth Proportional to 25,901.70, 35,743.23 and 14,571

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Solution

The fourth proportional to 25,901.70, 35,743.23 and 14,571 is: 20,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,901.70 : 35,743.23 = 14,571 : x
  2. Step 2: Convert to fraction form
    25,901.70/35,743.23 = 14,571/x
  3. Step 3: Cross multiply
    25,901.70x = 35,743.23 × 14,571
  4. Step 4: Simplify right side
    25,901.70x = 520,814,604.33
  5. Step 5: Solve for x
    x = 520,814,604.33/25,901.70
  6. Step 6: Final answer
    x = 20,107.35

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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.