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Finding the Fourth Proportional to 15,760.26, 23,638.95 and 9,182.34

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Solution

The fourth proportional to 15,760.26, 23,638.95 and 9,182.34 is: 13,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760.26 : 23,638.95 = 9,182.34 : x
  2. Step 2: Convert to fraction form
    15,760.26/23,638.95 = 9,182.34/x
  3. Step 3: Cross multiply
    15,760.26x = 23,638.95 × 9,182.34
  4. Step 4: Simplify right side
    15,760.26x = 217,060,876.14
  5. Step 5: Solve for x
    x = 217,060,876.14/15,760.26
  6. Step 6: Final answer
    x = 13,772.67

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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.