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Finding the Fourth Proportional to 13,677.60, 20,516.40 and 7,830.09

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Solution

The fourth proportional to 13,677.60, 20,516.40 and 7,830.09 is: 11,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.60 : 20,516.40 = 7,830.09 : x
  2. Step 2: Convert to fraction form
    13,677.60/20,516.40 = 7,830.09/x
  3. Step 3: Cross multiply
    13,677.60x = 20,516.40 × 7,830.09
  4. Step 4: Simplify right side
    13,677.60x = 160,645,258.48
  5. Step 5: Solve for x
    x = 160,645,258.48/13,677.60
  6. Step 6: Final answer
    x = 11,745.14

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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.