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Finding the Fourth Proportional to 27,683.25, 38,203.43 and 16,505.25

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Solution

The fourth proportional to 27,683.25, 38,203.43 and 16,505.25 is: 22,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.25 : 38,203.43 = 16,505.25 : x
  2. Step 2: Convert to fraction form
    27,683.25/38,203.43 = 16,505.25/x
  3. Step 3: Cross multiply
    27,683.25x = 38,203.43 × 16,505.25
  4. Step 4: Simplify right side
    27,683.25x = 630,557,080.48
  5. Step 5: Solve for x
    x = 630,557,080.48/27,683.25
  6. Step 6: Final answer
    x = 22,777.57

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1.5x scale

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.