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Finding the Fourth Proportional to 18,101, 24,972.38 and 11,383.88

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Solution

The fourth proportional to 18,101, 24,972.38 and 11,383.88 is: 15,705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,101 : 24,972.38 = 11,383.88 : x
  2. Step 2: Convert to fraction form
    18,101/24,972.38 = 11,383.88/x
  3. Step 3: Cross multiply
    18,101x = 24,972.38 × 11,383.88
  4. Step 4: Simplify right side
    18,101x = 284,282,577.23
  5. Step 5: Solve for x
    x = 284,282,577.23/18,101
  6. Step 6: Final answer
    x = 15,705.35

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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.