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Finding the Fourth Proportional to 13,348.38, 18,422.16 and 7,683.32

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Solution

The fourth proportional to 13,348.38, 18,422.16 and 7,683.32 is: 10,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.38 : 18,422.16 = 7,683.32 : x
  2. Step 2: Convert to fraction form
    13,348.38/18,422.16 = 7,683.32/x
  3. Step 3: Cross multiply
    13,348.38x = 18,422.16 × 7,683.32
  4. Step 4: Simplify right side
    13,348.38x = 141,543,350.37
  5. Step 5: Solve for x
    x = 141,543,350.37/13,348.38
  6. Step 6: Final answer
    x = 10,603.78

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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.