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Finding the Fourth Proportional to 13,075.32, 18,045.48 and 7,770.14

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Solution

The fourth proportional to 13,075.32, 18,045.48 and 7,770.14 is: 10,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.32 : 18,045.48 = 7,770.14 : x
  2. Step 2: Convert to fraction form
    13,075.32/18,045.48 = 7,770.14/x
  3. Step 3: Cross multiply
    13,075.32x = 18,045.48 × 7,770.14
  4. Step 4: Simplify right side
    13,075.32x = 140,215,905.97
  5. Step 5: Solve for x
    x = 140,215,905.97/13,075.32
  6. Step 6: Final answer
    x = 10,723.71

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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.