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Finding the Fourth Proportional to 27,683.34, 38,205.08 and 15,750.54

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Solution

The fourth proportional to 27,683.34, 38,205.08 and 15,750.54 is: 21,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.34 : 38,205.08 = 15,750.54 : x
  2. Step 2: Convert to fraction form
    27,683.34/38,205.08 = 15,750.54/x
  3. Step 3: Cross multiply
    27,683.34x = 38,205.08 × 15,750.54
  4. Step 4: Simplify right side
    27,683.34x = 601,750,640.74
  5. Step 5: Solve for x
    x = 601,750,640.74/27,683.34
  6. Step 6: Final answer
    x = 21,736.92

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Why These Related Problems?

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