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Finding the Fourth Proportional to 17,878.21, 24,671.55 and 9,920.26

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Solution

The fourth proportional to 17,878.21, 24,671.55 and 9,920.26 is: 13,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.21 : 24,671.55 = 9,920.26 : x
  2. Step 2: Convert to fraction form
    17,878.21/24,671.55 = 9,920.26/x
  3. Step 3: Cross multiply
    17,878.21x = 24,671.55 × 9,920.26
  4. Step 4: Simplify right side
    17,878.21x = 244,748,190.60
  5. Step 5: Solve for x
    x = 244,748,190.60/17,878.21
  6. Step 6: Final answer
    x = 13,689.75

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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.