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Finding the Fourth Proportional to 28,073.78, 42,074.10 and 11,414.37

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Solution

The fourth proportional to 28,073.78, 42,074.10 and 11,414.37 is: 17,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,073.78 : 42,074.10 = 11,414.37 : x
  2. Step 2: Convert to fraction form
    28,073.78/42,074.10 = 11,414.37/x
  3. Step 3: Cross multiply
    28,073.78x = 42,074.10 × 11,414.37
  4. Step 4: Simplify right side
    28,073.78x = 480,249,344.82
  5. Step 5: Solve for x
    x = 480,249,344.82/28,073.78
  6. Step 6: Final answer
    x = 17,106.69

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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.