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Finding the Fourth Proportional to 12,182.81, 16,795.55 and 7,704.32

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Solution

The fourth proportional to 12,182.81, 16,795.55 and 7,704.32 is: 10,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.81 : 16,795.55 = 7,704.32 : x
  2. Step 2: Convert to fraction form
    12,182.81/16,795.55 = 7,704.32/x
  3. Step 3: Cross multiply
    12,182.81x = 16,795.55 × 7,704.32
  4. Step 4: Simplify right side
    12,182.81x = 129,398,253.25
  5. Step 5: Solve for x
    x = 129,398,253.25/12,182.81
  6. Step 6: Final answer
    x = 10,621.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.