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Finding the Fourth Proportional to 19,971.14, 27,560.04 and 11,019.02

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Solution

The fourth proportional to 19,971.14, 27,560.04 and 11,019.02 is: 15,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971.14 : 27,560.04 = 11,019.02 : x
  2. Step 2: Convert to fraction form
    19,971.14/27,560.04 = 11,019.02/x
  3. Step 3: Cross multiply
    19,971.14x = 27,560.04 × 11,019.02
  4. Step 4: Simplify right side
    19,971.14x = 303,684,631.96
  5. Step 5: Solve for x
    x = 303,684,631.96/19,971.14
  6. Step 6: Final answer
    x = 15,206.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.