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Finding the Fourth Proportional to 28,076.85, 42,078.86 and 11,417.49

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Solution

The fourth proportional to 28,076.85, 42,078.86 and 11,417.49 is: 17,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,076.85 : 42,078.86 = 11,417.49 : x
  2. Step 2: Convert to fraction form
    28,076.85/42,078.86 = 11,417.49/x
  3. Step 3: Cross multiply
    28,076.85x = 42,078.86 × 11,417.49
  4. Step 4: Simplify right side
    28,076.85x = 480,434,906.17
  5. Step 5: Solve for x
    x = 480,434,906.17/28,076.85
  6. Step 6: Final answer
    x = 17,111.42

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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.