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Finding the Fourth Proportional to 18,781.16, 25,916.82 and 10,397

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Solution

The fourth proportional to 18,781.16, 25,916.82 and 10,397 is: 14,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,781.16 : 25,916.82 = 10,397 : x
  2. Step 2: Convert to fraction form
    18,781.16/25,916.82 = 10,397/x
  3. Step 3: Cross multiply
    18,781.16x = 25,916.82 × 10,397
  4. Step 4: Simplify right side
    18,781.16x = 269,457,177.54
  5. Step 5: Solve for x
    x = 269,457,177.54/18,781.16
  6. Step 6: Final answer
    x = 14,347.21

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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.