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Finding the Fourth Proportional to 17,874.68, 24,670.02 and 9,919.47

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Solution

The fourth proportional to 17,874.68, 24,670.02 and 9,919.47 is: 13,690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.68 : 24,670.02 = 9,919.47 : x
  2. Step 2: Convert to fraction form
    17,874.68/24,670.02 = 9,919.47/x
  3. Step 3: Cross multiply
    17,874.68x = 24,670.02 × 9,919.47
  4. Step 4: Simplify right side
    17,874.68x = 244,713,523.29
  5. Step 5: Solve for x
    x = 244,713,523.29/17,874.68
  6. Step 6: Final answer
    x = 13,690.52

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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.