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Finding the Fourth Proportional to 15,534.57, 23,258.43 and 8,393.22

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Solution

The fourth proportional to 15,534.57, 23,258.43 and 8,393.22 is: 12,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534.57 : 23,258.43 = 8,393.22 : x
  2. Step 2: Convert to fraction form
    15,534.57/23,258.43 = 8,393.22/x
  3. Step 3: Cross multiply
    15,534.57x = 23,258.43 × 8,393.22
  4. Step 4: Simplify right side
    15,534.57x = 195,213,073.96
  5. Step 5: Solve for x
    x = 195,213,073.96/15,534.57
  6. Step 6: Final answer
    x = 12,566.37

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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.