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Finding the Fourth Proportional to 15,987.71, 23,967.89 and 6,134.06

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Solution

The fourth proportional to 15,987.71, 23,967.89 and 6,134.06 is: 9,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,987.71 : 23,967.89 = 6,134.06 : x
  2. Step 2: Convert to fraction form
    15,987.71/23,967.89 = 6,134.06/x
  3. Step 3: Cross multiply
    15,987.71x = 23,967.89 × 6,134.06
  4. Step 4: Simplify right side
    15,987.71x = 147,020,562.09
  5. Step 5: Solve for x
    x = 147,020,562.09/15,987.71
  6. Step 6: Final answer
    x = 9,195.85

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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.