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Finding the Fourth Proportional to 19,135.99, 28,642.57 and 10,229.10

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Solution

The fourth proportional to 19,135.99, 28,642.57 and 10,229.10 is: 15,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,135.99 : 28,642.57 = 10,229.10 : x
  2. Step 2: Convert to fraction form
    19,135.99/28,642.57 = 10,229.10/x
  3. Step 3: Cross multiply
    19,135.99x = 28,642.57 × 10,229.10
  4. Step 4: Simplify right side
    19,135.99x = 292,987,712.79
  5. Step 5: Solve for x
    x = 292,987,712.79/19,135.99
  6. Step 6: Final answer
    x = 15,310.82

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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.