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Finding the Fourth Proportional to 13,686.48, 20,537.64 and 7,447.14

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Solution

The fourth proportional to 13,686.48, 20,537.64 and 7,447.14 is: 11,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.48 : 20,537.64 = 7,447.14 : x
  2. Step 2: Convert to fraction form
    13,686.48/20,537.64 = 7,447.14/x
  3. Step 3: Cross multiply
    13,686.48x = 20,537.64 × 7,447.14
  4. Step 4: Simplify right side
    13,686.48x = 152,946,680.35
  5. Step 5: Solve for x
    x = 152,946,680.35/13,686.48
  6. Step 6: Final answer
    x = 11,175.02

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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.