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Finding the Fourth Proportional to 28,078.36, 42,081.10 and 11,419

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Solution

The fourth proportional to 28,078.36, 42,081.10 and 11,419 is: 17,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,078.36 : 42,081.10 = 11,419 : x
  2. Step 2: Convert to fraction form
    28,078.36/42,081.10 = 11,419/x
  3. Step 3: Cross multiply
    28,078.36x = 42,081.10 × 11,419
  4. Step 4: Simplify right side
    28,078.36x = 480,524,080.90
  5. Step 5: Solve for x
    x = 480,524,080.90/28,078.36
  6. Step 6: Final answer
    x = 17,113.68

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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.