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Finding the Fourth Proportional to 13,078.96, 19,593.72 and 10,122.46

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Solution

The fourth proportional to 13,078.96, 19,593.72 and 10,122.46 is: 15,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.96 : 19,593.72 = 10,122.46 : x
  2. Step 2: Convert to fraction form
    13,078.96/19,593.72 = 10,122.46/x
  3. Step 3: Cross multiply
    13,078.96x = 19,593.72 × 10,122.46
  4. Step 4: Simplify right side
    13,078.96x = 198,336,646.95
  5. Step 5: Solve for x
    x = 198,336,646.95/13,078.96
  6. Step 6: Final answer
    x = 15,164.56

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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.