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Finding the Fourth Proportional to 15,686.75, 23,525.14 and 5,154.35

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Solution

The fourth proportional to 15,686.75, 23,525.14 and 5,154.35 is: 7,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.75 : 23,525.14 = 5,154.35 : x
  2. Step 2: Convert to fraction form
    15,686.75/23,525.14 = 5,154.35/x
  3. Step 3: Cross multiply
    15,686.75x = 23,525.14 × 5,154.35
  4. Step 4: Simplify right side
    15,686.75x = 121,256,687.73
  5. Step 5: Solve for x
    x = 121,256,687.73/15,686.75
  6. Step 6: Final answer
    x = 7,729.88

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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.