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Finding the Fourth Proportional to 17,884.67, 24,681.65 and 9,927

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Solution

The fourth proportional to 17,884.67, 24,681.65 and 9,927 is: 13,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.67 : 24,681.65 = 9,927 : x
  2. Step 2: Convert to fraction form
    17,884.67/24,681.65 = 9,927/x
  3. Step 3: Cross multiply
    17,884.67x = 24,681.65 × 9,927
  4. Step 4: Simplify right side
    17,884.67x = 245,014,689.92
  5. Step 5: Solve for x
    x = 245,014,689.92/17,884.67
  6. Step 6: Final answer
    x = 13,699.71

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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.