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Finding the Fourth Proportional to 17,574, 26,353.68 and 6,481.32

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Solution

The fourth proportional to 17,574, 26,353.68 and 6,481.32 is: 9,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574 : 26,353.68 = 6,481.32 : x
  2. Step 2: Convert to fraction form
    17,574/26,353.68 = 6,481.32/x
  3. Step 3: Cross multiply
    17,574x = 26,353.68 × 6,481.32
  4. Step 4: Simplify right side
    17,574x = 170,806,633.26
  5. Step 5: Solve for x
    x = 170,806,633.26/17,574
  6. Step 6: Final answer
    x = 9,719.28

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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.