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Finding the Fourth Proportional to 12,953.28, 19,408.05 and 10,350.75

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Solution

The fourth proportional to 12,953.28, 19,408.05 and 10,350.75 is: 15,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.28 : 19,408.05 = 10,350.75 : x
  2. Step 2: Convert to fraction form
    12,953.28/19,408.05 = 10,350.75/x
  3. Step 3: Cross multiply
    12,953.28x = 19,408.05 × 10,350.75
  4. Step 4: Simplify right side
    12,953.28x = 200,887,873.54
  5. Step 5: Solve for x
    x = 200,887,873.54/12,953.28
  6. Step 6: Final answer
    x = 15,508.65

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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.