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Finding the Fourth Proportional to 22,683.58, 31,295 and 13,727.82

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Solution

The fourth proportional to 22,683.58, 31,295 and 13,727.82 is: 18,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.58 : 31,295 = 13,727.82 : x
  2. Step 2: Convert to fraction form
    22,683.58/31,295 = 13,727.82/x
  3. Step 3: Cross multiply
    22,683.58x = 31,295 × 13,727.82
  4. Step 4: Simplify right side
    22,683.58x = 429,612,126.90
  5. Step 5: Solve for x
    x = 429,612,126.90/22,683.58
  6. Step 6: Final answer
    x = 18,939.34

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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.