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Finding the Fourth Proportional to 13,686.12, 20,536.88 and 7,446.58

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Solution

The fourth proportional to 13,686.12, 20,536.88 and 7,446.58 is: 11,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.12 : 20,536.88 = 7,446.58 : x
  2. Step 2: Convert to fraction form
    13,686.12/20,536.88 = 7,446.58/x
  3. Step 3: Cross multiply
    13,686.12x = 20,536.88 × 7,446.58
  4. Step 4: Simplify right side
    13,686.12x = 152,929,519.87
  5. Step 5: Solve for x
    x = 152,929,519.87/13,686.12
  6. Step 6: Final answer
    x = 11,174.06

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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.