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Finding the Fourth Proportional to 16,165.80, 22,310.10 and 9,091.80

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Solution

The fourth proportional to 16,165.80, 22,310.10 and 9,091.80 is: 12,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.80 : 22,310.10 = 9,091.80 : x
  2. Step 2: Convert to fraction form
    16,165.80/22,310.10 = 9,091.80/x
  3. Step 3: Cross multiply
    16,165.80x = 22,310.10 × 9,091.80
  4. Step 4: Simplify right side
    16,165.80x = 202,838,967.18
  5. Step 5: Solve for x
    x = 202,838,967.18/16,165.80
  6. Step 6: Final answer
    x = 12,547.41

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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.