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Finding the Fourth Proportional to 17,699.66, 24,425.54 and 9,741.83

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Solution

The fourth proportional to 17,699.66, 24,425.54 and 9,741.83 is: 13,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,699.66 : 24,425.54 = 9,741.83 : x
  2. Step 2: Convert to fraction form
    17,699.66/24,425.54 = 9,741.83/x
  3. Step 3: Cross multiply
    17,699.66x = 24,425.54 × 9,741.83
  4. Step 4: Simplify right side
    17,699.66x = 237,949,543.72
  5. Step 5: Solve for x
    x = 237,949,543.72/17,699.66
  6. Step 6: Final answer
    x = 13,443.73

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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.