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Finding the Fourth Proportional to 16,162.11, 22,296.65 and 9,870.75

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Solution

The fourth proportional to 16,162.11, 22,296.65 and 9,870.75 is: 13,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162.11 : 22,296.65 = 9,870.75 : x
  2. Step 2: Convert to fraction form
    16,162.11/22,296.65 = 9,870.75/x
  3. Step 3: Cross multiply
    16,162.11x = 22,296.65 × 9,870.75
  4. Step 4: Simplify right side
    16,162.11x = 220,084,608.63
  5. Step 5: Solve for x
    x = 220,084,608.63/16,162.11
  6. Step 6: Final answer
    x = 13,617.32

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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.