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Finding the Fourth Proportional to 27,683.50, 38,203.77 and 16,505.50

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Solution

The fourth proportional to 27,683.50, 38,203.77 and 16,505.50 is: 22,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.50 : 38,203.77 = 16,505.50 : x
  2. Step 2: Convert to fraction form
    27,683.50/38,203.77 = 16,505.50/x
  3. Step 3: Cross multiply
    27,683.50x = 38,203.77 × 16,505.50
  4. Step 4: Simplify right side
    27,683.50x = 630,572,325.74
  5. Step 5: Solve for x
    x = 630,572,325.74/27,683.50
  6. Step 6: Final answer
    x = 22,777.91

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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.