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Finding the Fourth Proportional to 15,718.22, 23,555.86 and 8,687.82

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Solution

The fourth proportional to 15,718.22, 23,555.86 and 8,687.82 is: 13,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718.22 : 23,555.86 = 8,687.82 : x
  2. Step 2: Convert to fraction form
    15,718.22/23,555.86 = 8,687.82/x
  3. Step 3: Cross multiply
    15,718.22x = 23,555.86 × 8,687.82
  4. Step 4: Simplify right side
    15,718.22x = 204,649,071.63
  5. Step 5: Solve for x
    x = 204,649,071.63/15,718.22
  6. Step 6: Final answer
    x = 13,019.86

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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.