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Finding the Fourth Proportional to 17,426.42, 24,036.78 and 11,684

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Solution

The fourth proportional to 17,426.42, 24,036.78 and 11,684 is: 16,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,426.42 : 24,036.78 = 11,684 : x
  2. Step 2: Convert to fraction form
    17,426.42/24,036.78 = 11,684/x
  3. Step 3: Cross multiply
    17,426.42x = 24,036.78 × 11,684
  4. Step 4: Simplify right side
    17,426.42x = 280,845,737.52
  5. Step 5: Solve for x
    x = 280,845,737.52/17,426.42
  6. Step 6: Final answer
    x = 16,116.09

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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.