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Finding the Fourth Proportional to 15,980.54, 23,949.96 and 8,576.34

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Solution

The fourth proportional to 15,980.54, 23,949.96 and 8,576.34 is: 12,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,980.54 : 23,949.96 = 8,576.34 : x
  2. Step 2: Convert to fraction form
    15,980.54/23,949.96 = 8,576.34/x
  3. Step 3: Cross multiply
    15,980.54x = 23,949.96 × 8,576.34
  4. Step 4: Simplify right side
    15,980.54x = 205,402,999.95
  5. Step 5: Solve for x
    x = 205,402,999.95/15,980.54
  6. Step 6: Final answer
    x = 12,853.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.