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Finding the Fourth Proportional to 13,981, 20,971.50 and 3,592.75

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Solution

The fourth proportional to 13,981, 20,971.50 and 3,592.75 is: 5,389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981 : 20,971.50 = 3,592.75 : x
  2. Step 2: Convert to fraction form
    13,981/20,971.50 = 3,592.75/x
  3. Step 3: Cross multiply
    13,981x = 20,971.50 × 3,592.75
  4. Step 4: Simplify right side
    13,981x = 75,345,356.63
  5. Step 5: Solve for x
    x = 75,345,356.63/13,981
  6. Step 6: Final answer
    x = 5,389.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.