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Finding the Fourth Proportional to 18,082.98, 27,124.47 and 8,842.50

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Solution

The fourth proportional to 18,082.98, 27,124.47 and 8,842.50 is: 13,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082.98 : 27,124.47 = 8,842.50 : x
  2. Step 2: Convert to fraction form
    18,082.98/27,124.47 = 8,842.50/x
  3. Step 3: Cross multiply
    18,082.98x = 27,124.47 × 8,842.50
  4. Step 4: Simplify right side
    18,082.98x = 239,848,125.98
  5. Step 5: Solve for x
    x = 239,848,125.98/18,082.98
  6. Step 6: Final answer
    x = 13,263.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.