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Finding the Fourth Proportional to 15,967.56, 23,972.54 and 13,642.50

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Solution

The fourth proportional to 15,967.56, 23,972.54 and 13,642.50 is: 20,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,967.56 : 23,972.54 = 13,642.50 : x
  2. Step 2: Convert to fraction form
    15,967.56/23,972.54 = 13,642.50/x
  3. Step 3: Cross multiply
    15,967.56x = 23,972.54 × 13,642.50
  4. Step 4: Simplify right side
    15,967.56x = 327,045,376.95
  5. Step 5: Solve for x
    x = 327,045,376.95/15,967.56
  6. Step 6: Final answer
    x = 20,481.86

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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.