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Finding the Fourth Proportional to 17,412, 24,031.61 and 10,338.27

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Solution

The fourth proportional to 17,412, 24,031.61 and 10,338.27 is: 14,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412 : 24,031.61 = 10,338.27 : x
  2. Step 2: Convert to fraction form
    17,412/24,031.61 = 10,338.27/x
  3. Step 3: Cross multiply
    17,412x = 24,031.61 × 10,338.27
  4. Step 4: Simplify right side
    17,412x = 248,445,221.02
  5. Step 5: Solve for x
    x = 248,445,221.02/17,412
  6. Step 6: Final answer
    x = 14,268.62

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