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Finding the Fourth Proportional to 13,247.80, 19,886.10 and 7,415.80

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Solution

The fourth proportional to 13,247.80, 19,886.10 and 7,415.80 is: 11,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,247.80 : 19,886.10 = 7,415.80 : x
  2. Step 2: Convert to fraction form
    13,247.80/19,886.10 = 7,415.80/x
  3. Step 3: Cross multiply
    13,247.80x = 19,886.10 × 7,415.80
  4. Step 4: Simplify right side
    13,247.80x = 147,471,340.38
  5. Step 5: Solve for x
    x = 147,471,340.38/13,247.80
  6. Step 6: Final answer
    x = 11,131.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.