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Finding the Fourth Proportional to 13,476.38, 18,597.62 and 7,734.78

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Solution

The fourth proportional to 13,476.38, 18,597.62 and 7,734.78 is: 10,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.38 : 18,597.62 = 7,734.78 : x
  2. Step 2: Convert to fraction form
    13,476.38/18,597.62 = 7,734.78/x
  3. Step 3: Cross multiply
    13,476.38x = 18,597.62 × 7,734.78
  4. Step 4: Simplify right side
    13,476.38x = 143,848,499.22
  5. Step 5: Solve for x
    x = 143,848,499.22/13,476.38
  6. Step 6: Final answer
    x = 10,674.12

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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.