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Finding the Fourth Proportional to 13,981.49, 20,972.23 and 5,097.49

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Solution

The fourth proportional to 13,981.49, 20,972.23 and 5,097.49 is: 7,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.49 : 20,972.23 = 5,097.49 : x
  2. Step 2: Convert to fraction form
    13,981.49/20,972.23 = 5,097.49/x
  3. Step 3: Cross multiply
    13,981.49x = 20,972.23 × 5,097.49
  4. Step 4: Simplify right side
    13,981.49x = 106,905,686.64
  5. Step 5: Solve for x
    x = 106,905,686.64/13,981.49
  6. Step 6: Final answer
    x = 7,646.23

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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.