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Finding the Fourth Proportional to 13,770.38, 19,003.14 and 7,482.76

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Solution

The fourth proportional to 13,770.38, 19,003.14 and 7,482.76 is: 10,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.38 : 19,003.14 = 7,482.76 : x
  2. Step 2: Convert to fraction form
    13,770.38/19,003.14 = 7,482.76/x
  3. Step 3: Cross multiply
    13,770.38x = 19,003.14 × 7,482.76
  4. Step 4: Simplify right side
    13,770.38x = 142,195,935.87
  5. Step 5: Solve for x
    x = 142,195,935.87/13,770.38
  6. Step 6: Final answer
    x = 10,326.22

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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.