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Finding the Fourth Proportional to 16,206.80, 22,316.32 and 13,843.76

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Solution

The fourth proportional to 16,206.80, 22,316.32 and 13,843.76 is: 19,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.80 : 22,316.32 = 13,843.76 : x
  2. Step 2: Convert to fraction form
    16,206.80/22,316.32 = 13,843.76/x
  3. Step 3: Cross multiply
    16,206.80x = 22,316.32 × 13,843.76
  4. Step 4: Simplify right side
    16,206.80x = 308,941,778.16
  5. Step 5: Solve for x
    x = 308,941,778.16/16,206.80
  6. Step 6: Final answer
    x = 19,062.48

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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.