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Finding the Fourth Proportional to 17,822, 24,588.34 and 10,268.13

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Solution

The fourth proportional to 17,822, 24,588.34 and 10,268.13 is: 14,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822 : 24,588.34 = 10,268.13 : x
  2. Step 2: Convert to fraction form
    17,822/24,588.34 = 10,268.13/x
  3. Step 3: Cross multiply
    17,822x = 24,588.34 × 10,268.13
  4. Step 4: Simplify right side
    17,822x = 252,476,271.60
  5. Step 5: Solve for x
    x = 252,476,271.60/17,822
  6. Step 6: Final answer
    x = 14,166.55

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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.