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Finding the Fourth Proportional to 17,699.12, 24,424.62 and 9,741.14

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Solution

The fourth proportional to 17,699.12, 24,424.62 and 9,741.14 is: 13,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,699.12 : 24,424.62 = 9,741.14 : x
  2. Step 2: Convert to fraction form
    17,699.12/24,424.62 = 9,741.14/x
  3. Step 3: Cross multiply
    17,699.12x = 24,424.62 × 9,741.14
  4. Step 4: Simplify right side
    17,699.12x = 237,923,642.87
  5. Step 5: Solve for x
    x = 237,923,642.87/17,699.12
  6. Step 6: Final answer
    x = 13,442.68

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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.