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Finding the Fourth Proportional to 25,864.31, 35,692.79 and 14,686.31

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Solution

The fourth proportional to 25,864.31, 35,692.79 and 14,686.31 is: 20,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864.31 : 35,692.79 = 14,686.31 : x
  2. Step 2: Convert to fraction form
    25,864.31/35,692.79 = 14,686.31/x
  3. Step 3: Cross multiply
    25,864.31x = 35,692.79 × 14,686.31
  4. Step 4: Simplify right side
    25,864.31x = 524,195,378.70
  5. Step 5: Solve for x
    x = 524,195,378.70/25,864.31
  6. Step 6: Final answer
    x = 20,267.13

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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.