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Finding the Fourth Proportional to 13,114.58, 19,677.68 and 6,873.10

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Solution

The fourth proportional to 13,114.58, 19,677.68 and 6,873.10 is: 10,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.58 : 19,677.68 = 6,873.10 : x
  2. Step 2: Convert to fraction form
    13,114.58/19,677.68 = 6,873.10/x
  3. Step 3: Cross multiply
    13,114.58x = 19,677.68 × 6,873.10
  4. Step 4: Simplify right side
    13,114.58x = 135,246,753.97
  5. Step 5: Solve for x
    x = 135,246,753.97/13,114.58
  6. Step 6: Final answer
    x = 10,312.71

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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.