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Finding the Fourth Proportional to 17,959.71, 24,782.72 and 10,406.33

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Solution

The fourth proportional to 17,959.71, 24,782.72 and 10,406.33 is: 14,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,959.71 : 24,782.72 = 10,406.33 : x
  2. Step 2: Convert to fraction form
    17,959.71/24,782.72 = 10,406.33/x
  3. Step 3: Cross multiply
    17,959.71x = 24,782.72 × 10,406.33
  4. Step 4: Simplify right side
    17,959.71x = 257,897,162.62
  5. Step 5: Solve for x
    x = 257,897,162.62/17,959.71
  6. Step 6: Final answer
    x = 14,359.76

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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.