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Finding the Fourth Proportional to 17,645.88, 24,340.61 and 10,471.07

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Solution

The fourth proportional to 17,645.88, 24,340.61 and 10,471.07 is: 14,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,645.88 : 24,340.61 = 10,471.07 : x
  2. Step 2: Convert to fraction form
    17,645.88/24,340.61 = 10,471.07/x
  3. Step 3: Cross multiply
    17,645.88x = 24,340.61 × 10,471.07
  4. Step 4: Simplify right side
    17,645.88x = 254,872,181.27
  5. Step 5: Solve for x
    x = 254,872,181.27/17,645.88
  6. Step 6: Final answer
    x = 14,443.72

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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.