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Finding the Fourth Proportional to 13,675.52, 18,871.97 and 7,707.08

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Solution

The fourth proportional to 13,675.52, 18,871.97 and 7,707.08 is: 10,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.52 : 18,871.97 = 7,707.08 : x
  2. Step 2: Convert to fraction form
    13,675.52/18,871.97 = 7,707.08/x
  3. Step 3: Cross multiply
    13,675.52x = 18,871.97 × 7,707.08
  4. Step 4: Simplify right side
    13,675.52x = 145,447,649.65
  5. Step 5: Solve for x
    x = 145,447,649.65/13,675.52
  6. Step 6: Final answer
    x = 10,635.63

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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.