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Finding the Fourth Proportional to 19,902.47, 27,463.12 and 10,949.13

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Solution

The fourth proportional to 19,902.47, 27,463.12 and 10,949.13 is: 15,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.47 : 27,463.12 = 10,949.13 : x
  2. Step 2: Convert to fraction form
    19,902.47/27,463.12 = 10,949.13/x
  3. Step 3: Cross multiply
    19,902.47x = 27,463.12 × 10,949.13
  4. Step 4: Simplify right side
    19,902.47x = 300,697,243.71
  5. Step 5: Solve for x
    x = 300,697,243.71/19,902.47
  6. Step 6: Final answer
    x = 15,108.54

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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.