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Finding the Fourth Proportional to 13,115.70, 19,673.55 and 12,338.10

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Solution

The fourth proportional to 13,115.70, 19,673.55 and 12,338.10 is: 18,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.70 : 19,673.55 = 12,338.10 : x
  2. Step 2: Convert to fraction form
    13,115.70/19,673.55 = 12,338.10/x
  3. Step 3: Cross multiply
    13,115.70x = 19,673.55 × 12,338.10
  4. Step 4: Simplify right side
    13,115.70x = 242,734,227.26
  5. Step 5: Solve for x
    x = 242,734,227.26/13,115.70
  6. Step 6: Final answer
    x = 18,507.15

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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.