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Finding the Fourth Proportional to 17,637.29, 24,339.94 and 9,679.80

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Solution

The fourth proportional to 17,637.29, 24,339.94 and 9,679.80 is: 13,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.29 : 24,339.94 = 9,679.80 : x
  2. Step 2: Convert to fraction form
    17,637.29/24,339.94 = 9,679.80/x
  3. Step 3: Cross multiply
    17,637.29x = 24,339.94 × 9,679.80
  4. Step 4: Simplify right side
    17,637.29x = 235,605,727.01
  5. Step 5: Solve for x
    x = 235,605,727.01/17,637.29
  6. Step 6: Final answer
    x = 13,358.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.