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Finding the Fourth Proportional to 13,920.16, 19,209.84 and 7,546.78

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Solution

The fourth proportional to 13,920.16, 19,209.84 and 7,546.78 is: 10,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.16 : 19,209.84 = 7,546.78 : x
  2. Step 2: Convert to fraction form
    13,920.16/19,209.84 = 7,546.78/x
  3. Step 3: Cross multiply
    13,920.16x = 19,209.84 × 7,546.78
  4. Step 4: Simplify right side
    13,920.16x = 144,972,436.32
  5. Step 5: Solve for x
    x = 144,972,436.32/13,920.16
  6. Step 6: Final answer
    x = 10,414.57

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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.