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Finding the Fourth Proportional to 20,219.84, 27,903.14 and 11,267.32

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Solution

The fourth proportional to 20,219.84, 27,903.14 and 11,267.32 is: 15,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.84 : 27,903.14 = 11,267.32 : x
  2. Step 2: Convert to fraction form
    20,219.84/27,903.14 = 11,267.32/x
  3. Step 3: Cross multiply
    20,219.84x = 27,903.14 × 11,267.32
  4. Step 4: Simplify right side
    20,219.84x = 314,393,607.38
  5. Step 5: Solve for x
    x = 314,393,607.38/20,219.84
  6. Step 6: Final answer
    x = 15,548.77

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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.