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Finding the Fourth Proportional to 15,550, 23,324.91 and 5,689.96

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Solution

The fourth proportional to 15,550, 23,324.91 and 5,689.96 is: 8,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,550 : 23,324.91 = 5,689.96 : x
  2. Step 2: Convert to fraction form
    15,550/23,324.91 = 5,689.96/x
  3. Step 3: Cross multiply
    15,550x = 23,324.91 × 5,689.96
  4. Step 4: Simplify right side
    15,550x = 132,717,804.90
  5. Step 5: Solve for x
    x = 132,717,804.90/15,550
  6. Step 6: Final answer
    x = 8,534.91

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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.