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Finding the Fourth Proportional to 12,177.08, 16,804.71 and 7,395.41

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Solution

The fourth proportional to 12,177.08, 16,804.71 and 7,395.41 is: 10,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.08 : 16,804.71 = 7,395.41 : x
  2. Step 2: Convert to fraction form
    12,177.08/16,804.71 = 7,395.41/x
  3. Step 3: Cross multiply
    12,177.08x = 16,804.71 × 7,395.41
  4. Step 4: Simplify right side
    12,177.08x = 124,277,720.38
  5. Step 5: Solve for x
    x = 124,277,720.38/12,177.08
  6. Step 6: Final answer
    x = 10,205.87

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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.