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Finding the Fourth Proportional to 15,686.22, 23,527.26 and 5,824.17

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Solution

The fourth proportional to 15,686.22, 23,527.26 and 5,824.17 is: 8,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.22 : 23,527.26 = 5,824.17 : x
  2. Step 2: Convert to fraction form
    15,686.22/23,527.26 = 5,824.17/x
  3. Step 3: Cross multiply
    15,686.22x = 23,527.26 × 5,824.17
  4. Step 4: Simplify right side
    15,686.22x = 137,026,761.87
  5. Step 5: Solve for x
    x = 137,026,761.87/15,686.22
  6. Step 6: Final answer
    x = 8,735.48

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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.