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Finding the Fourth Proportional to 17,805.96, 24,574.04 and 10,252.68

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Solution

The fourth proportional to 17,805.96, 24,574.04 and 10,252.68 is: 14,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,805.96 : 24,574.04 = 10,252.68 : x
  2. Step 2: Convert to fraction form
    17,805.96/24,574.04 = 10,252.68/x
  3. Step 3: Cross multiply
    17,805.96x = 24,574.04 × 10,252.68
  4. Step 4: Simplify right side
    17,805.96x = 251,949,768.43
  5. Step 5: Solve for x
    x = 251,949,768.43/17,805.96
  6. Step 6: Final answer
    x = 14,149.74

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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.