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Finding the Fourth Proportional to 17,407.44, 26,104.68 and 8,646.48

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Solution

The fourth proportional to 17,407.44, 26,104.68 and 8,646.48 is: 12,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.44 : 26,104.68 = 8,646.48 : x
  2. Step 2: Convert to fraction form
    17,407.44/26,104.68 = 8,646.48/x
  3. Step 3: Cross multiply
    17,407.44x = 26,104.68 × 8,646.48
  4. Step 4: Simplify right side
    17,407.44x = 225,713,593.53
  5. Step 5: Solve for x
    x = 225,713,593.53/17,407.44
  6. Step 6: Final answer
    x = 12,966.50

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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.