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Finding the Fourth Proportional to 27,220.78, 37,570.80 and 17,783.92

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Solution

The fourth proportional to 27,220.78, 37,570.80 and 17,783.92 is: 24,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,220.78 : 37,570.80 = 17,783.92 : x
  2. Step 2: Convert to fraction form
    27,220.78/37,570.80 = 17,783.92/x
  3. Step 3: Cross multiply
    27,220.78x = 37,570.80 × 17,783.92
  4. Step 4: Simplify right side
    27,220.78x = 668,156,101.54
  5. Step 5: Solve for x
    x = 668,156,101.54/27,220.78
  6. Step 6: Final answer
    x = 24,545.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.