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Finding the Fourth Proportional to 17,878.40, 24,672.30 and 9,920.78

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Solution

The fourth proportional to 17,878.40, 24,672.30 and 9,920.78 is: 13,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.40 : 24,672.30 = 9,920.78 : x
  2. Step 2: Convert to fraction form
    17,878.40/24,672.30 = 9,920.78/x
  3. Step 3: Cross multiply
    17,878.40x = 24,672.30 × 9,920.78
  4. Step 4: Simplify right side
    17,878.40x = 244,768,460.39
  5. Step 5: Solve for x
    x = 244,768,460.39/17,878.40
  6. Step 6: Final answer
    x = 13,690.74

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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.