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Finding the Fourth Proportional to 16,878.16, 23,291.87 and 9,805.04

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Solution

The fourth proportional to 16,878.16, 23,291.87 and 9,805.04 is: 13,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,878.16 : 23,291.87 = 9,805.04 : x
  2. Step 2: Convert to fraction form
    16,878.16/23,291.87 = 9,805.04/x
  3. Step 3: Cross multiply
    16,878.16x = 23,291.87 × 9,805.04
  4. Step 4: Simplify right side
    16,878.16x = 228,377,718.18
  5. Step 5: Solve for x
    x = 228,377,718.18/16,878.16
  6. Step 6: Final answer
    x = 13,530.96

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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.