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Finding the Fourth Proportional to 17,761.34, 24,509.32 and 10,207.68

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Solution

The fourth proportional to 17,761.34, 24,509.32 and 10,207.68 is: 14,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.34 : 24,509.32 = 10,207.68 : x
  2. Step 2: Convert to fraction form
    17,761.34/24,509.32 = 10,207.68/x
  3. Step 3: Cross multiply
    17,761.34x = 24,509.32 × 10,207.68
  4. Step 4: Simplify right side
    17,761.34x = 250,183,295.58
  5. Step 5: Solve for x
    x = 250,183,295.58/17,761.34
  6. Step 6: Final answer
    x = 14,085.83

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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.