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Finding the Fourth Proportional to 22,274.92, 33,543.36 and 16,078.40

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Solution

The fourth proportional to 22,274.92, 33,543.36 and 16,078.40 is: 24,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.92 : 33,543.36 = 16,078.40 : x
  2. Step 2: Convert to fraction form
    22,274.92/33,543.36 = 16,078.40/x
  3. Step 3: Cross multiply
    22,274.92x = 33,543.36 × 16,078.40
  4. Step 4: Simplify right side
    22,274.92x = 539,323,559.42
  5. Step 5: Solve for x
    x = 539,323,559.42/22,274.92
  6. Step 6: Final answer
    x = 24,212.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.