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Finding the Fourth Proportional to 17,878.30, 24,673.60 and 9,922.08

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Solution

The fourth proportional to 17,878.30, 24,673.60 and 9,922.08 is: 13,693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.30 : 24,673.60 = 9,922.08 : x
  2. Step 2: Convert to fraction form
    17,878.30/24,673.60 = 9,922.08/x
  3. Step 3: Cross multiply
    17,878.30x = 24,673.60 × 9,922.08
  4. Step 4: Simplify right side
    17,878.30x = 244,813,433.09
  5. Step 5: Solve for x
    x = 244,813,433.09/17,878.30
  6. Step 6: Final answer
    x = 13,693.33

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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.