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Finding the Fourth Proportional to 17,642.78, 24,347.42 and 10,089.80

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Solution

The fourth proportional to 17,642.78, 24,347.42 and 10,089.80 is: 13,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.78 : 24,347.42 = 10,089.80 : x
  2. Step 2: Convert to fraction form
    17,642.78/24,347.42 = 10,089.80/x
  3. Step 3: Cross multiply
    17,642.78x = 24,347.42 × 10,089.80
  4. Step 4: Simplify right side
    17,642.78x = 245,660,426.13
  5. Step 5: Solve for x
    x = 245,660,426.13/17,642.78
  6. Step 6: Final answer
    x = 13,924.14

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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.