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Finding the Fourth Proportional to 22,627.80, 33,917.40 and 8,582.40

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Solution

The fourth proportional to 22,627.80, 33,917.40 and 8,582.40 is: 12,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,627.80 : 33,917.40 = 8,582.40 : x
  2. Step 2: Convert to fraction form
    22,627.80/33,917.40 = 8,582.40/x
  3. Step 3: Cross multiply
    22,627.80x = 33,917.40 × 8,582.40
  4. Step 4: Simplify right side
    22,627.80x = 291,092,693.76
  5. Step 5: Solve for x
    x = 291,092,693.76/22,627.80
  6. Step 6: Final answer
    x = 12,864.38

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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.