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Finding the Fourth Proportional to 25,474.01, 38,213.06 and 9,686.59

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Solution

The fourth proportional to 25,474.01, 38,213.06 and 9,686.59 is: 14,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,474.01 : 38,213.06 = 9,686.59 : x
  2. Step 2: Convert to fraction form
    25,474.01/38,213.06 = 9,686.59/x
  3. Step 3: Cross multiply
    25,474.01x = 38,213.06 × 9,686.59
  4. Step 4: Simplify right side
    25,474.01x = 370,154,100.90
  5. Step 5: Solve for x
    x = 370,154,100.90/25,474.01
  6. Step 6: Final answer
    x = 14,530.66

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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.