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Finding the Fourth Proportional to 13,770.11, 19,002.80 and 7,482.49

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Solution

The fourth proportional to 13,770.11, 19,002.80 and 7,482.49 is: 10,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.11 : 19,002.80 = 7,482.49 : x
  2. Step 2: Convert to fraction form
    13,770.11/19,002.80 = 7,482.49/x
  3. Step 3: Cross multiply
    13,770.11x = 19,002.80 × 7,482.49
  4. Step 4: Simplify right side
    13,770.11x = 142,188,260.97
  5. Step 5: Solve for x
    x = 142,188,260.97/13,770.11
  6. Step 6: Final answer
    x = 10,325.86

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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.