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Finding the Fourth Proportional to 17,723.68, 24,458.40 and 10,169.68

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Solution

The fourth proportional to 17,723.68, 24,458.40 and 10,169.68 is: 14,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.68 : 24,458.40 = 10,169.68 : x
  2. Step 2: Convert to fraction form
    17,723.68/24,458.40 = 10,169.68/x
  3. Step 3: Cross multiply
    17,723.68x = 24,458.40 × 10,169.68
  4. Step 4: Simplify right side
    17,723.68x = 248,734,101.31
  5. Step 5: Solve for x
    x = 248,734,101.31/17,723.68
  6. Step 6: Final answer
    x = 14,034.00

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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.