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Finding the Fourth Proportional to 13,486.12, 20,174.97 and 11,656.87

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Solution

The fourth proportional to 13,486.12, 20,174.97 and 11,656.87 is: 17,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.12 : 20,174.97 = 11,656.87 : x
  2. Step 2: Convert to fraction form
    13,486.12/20,174.97 = 11,656.87/x
  3. Step 3: Cross multiply
    13,486.12x = 20,174.97 × 11,656.87
  4. Step 4: Simplify right side
    13,486.12x = 235,176,995.82
  5. Step 5: Solve for x
    x = 235,176,995.82/13,486.12
  6. Step 6: Final answer
    x = 17,438.45

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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.