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Finding the Fourth Proportional to 28,077.36, 42,079.60 and 11,418

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Solution

The fourth proportional to 28,077.36, 42,079.60 and 11,418 is: 17,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,077.36 : 42,079.60 = 11,418 : x
  2. Step 2: Convert to fraction form
    28,077.36/42,079.60 = 11,418/x
  3. Step 3: Cross multiply
    28,077.36x = 42,079.60 × 11,418
  4. Step 4: Simplify right side
    28,077.36x = 480,464,872.80
  5. Step 5: Solve for x
    x = 480,464,872.80/28,077.36
  6. Step 6: Final answer
    x = 17,112.18

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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.