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Finding the Fourth Proportional to 17,743.68, 26,622.24 and 6,655.32

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Solution

The fourth proportional to 17,743.68, 26,622.24 and 6,655.32 is: 9,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743.68 : 26,622.24 = 6,655.32 : x
  2. Step 2: Convert to fraction form
    17,743.68/26,622.24 = 6,655.32/x
  3. Step 3: Cross multiply
    17,743.68x = 26,622.24 × 6,655.32
  4. Step 4: Simplify right side
    17,743.68x = 177,179,526.32
  5. Step 5: Solve for x
    x = 177,179,526.32/17,743.68
  6. Step 6: Final answer
    x = 9,985.50

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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.