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Finding the Fourth Proportional to 22,753.50, 31,398.82 and 12,683.04

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Solution

The fourth proportional to 22,753.50, 31,398.82 and 12,683.04 is: 17,502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.50 : 31,398.82 = 12,683.04 : x
  2. Step 2: Convert to fraction form
    22,753.50/31,398.82 = 12,683.04/x
  3. Step 3: Cross multiply
    22,753.50x = 31,398.82 × 12,683.04
  4. Step 4: Simplify right side
    22,753.50x = 398,232,490.01
  5. Step 5: Solve for x
    x = 398,232,490.01/22,753.50
  6. Step 6: Final answer
    x = 17,502.03

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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.