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Finding the Fourth Proportional to 17,744, 26,616.04 and 5,432

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Solution

The fourth proportional to 17,744, 26,616.04 and 5,432 is: 8,148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744 : 26,616.04 = 5,432 : x
  2. Step 2: Convert to fraction form
    17,744/26,616.04 = 5,432/x
  3. Step 3: Cross multiply
    17,744x = 26,616.04 × 5,432
  4. Step 4: Simplify right side
    17,744x = 144,578,329.28
  5. Step 5: Solve for x
    x = 144,578,329.28/17,744
  6. Step 6: Final answer
    x = 8,148.01

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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.