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Finding the Fourth Proportional to 27,683.61, 38,205.41 and 15,750.78

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Solution

The fourth proportional to 27,683.61, 38,205.41 and 15,750.78 is: 21,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.61 : 38,205.41 = 15,750.78 : x
  2. Step 2: Convert to fraction form
    27,683.61/38,205.41 = 15,750.78/x
  3. Step 3: Cross multiply
    27,683.61x = 38,205.41 × 15,750.78
  4. Step 4: Simplify right side
    27,683.61x = 601,765,007.72
  5. Step 5: Solve for x
    x = 601,765,007.72/27,683.61
  6. Step 6: Final answer
    x = 21,737.23

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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.