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Finding the Fourth Proportional to 23,124.30, 34,679.43 and 9,974.22

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Solution

The fourth proportional to 23,124.30, 34,679.43 and 9,974.22 is: 14,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.30 : 34,679.43 = 9,974.22 : x
  2. Step 2: Convert to fraction form
    23,124.30/34,679.43 = 9,974.22/x
  3. Step 3: Cross multiply
    23,124.30x = 34,679.43 × 9,974.22
  4. Step 4: Simplify right side
    23,124.30x = 345,900,264.29
  5. Step 5: Solve for x
    x = 345,900,264.29/23,124.30
  6. Step 6: Final answer
    x = 14,958.30

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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.