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Finding the Fourth Proportional to 22,077.50, 33,079.52 and 13,294.40

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Solution

The fourth proportional to 22,077.50, 33,079.52 and 13,294.40 is: 19,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077.50 : 33,079.52 = 13,294.40 : x
  2. Step 2: Convert to fraction form
    22,077.50/33,079.52 = 13,294.40/x
  3. Step 3: Cross multiply
    22,077.50x = 33,079.52 × 13,294.40
  4. Step 4: Simplify right side
    22,077.50x = 439,772,238.53
  5. Step 5: Solve for x
    x = 439,772,238.53/22,077.50
  6. Step 6: Final answer
    x = 19,919.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.