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Finding the Fourth Proportional to 13,075.71, 18,045.23 and 7,770.21

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Solution

The fourth proportional to 13,075.71, 18,045.23 and 7,770.21 is: 10,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.71 : 18,045.23 = 7,770.21 : x
  2. Step 2: Convert to fraction form
    13,075.71/18,045.23 = 7,770.21/x
  3. Step 3: Cross multiply
    13,075.71x = 18,045.23 × 7,770.21
  4. Step 4: Simplify right side
    13,075.71x = 140,215,187.75
  5. Step 5: Solve for x
    x = 140,215,187.75/13,075.71
  6. Step 6: Final answer
    x = 10,723.33

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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.