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Finding the Fourth Proportional to 23,065.75, 34,595.49 and 9,016

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Solution

The fourth proportional to 23,065.75, 34,595.49 and 9,016 is: 13,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,065.75 : 34,595.49 = 9,016 : x
  2. Step 2: Convert to fraction form
    23,065.75/34,595.49 = 9,016/x
  3. Step 3: Cross multiply
    23,065.75x = 34,595.49 × 9,016
  4. Step 4: Simplify right side
    23,065.75x = 311,912,937.84
  5. Step 5: Solve for x
    x = 311,912,937.84/23,065.75
  6. Step 6: Final answer
    x = 13,522.77

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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.