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Finding the Fourth Proportional to 17,267.46, 23,833.02 and 12,226.38

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Solution

The fourth proportional to 17,267.46, 23,833.02 and 12,226.38 is: 16,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,267.46 : 23,833.02 = 12,226.38 : x
  2. Step 2: Convert to fraction form
    17,267.46/23,833.02 = 12,226.38/x
  3. Step 3: Cross multiply
    17,267.46x = 23,833.02 × 12,226.38
  4. Step 4: Simplify right side
    17,267.46x = 291,391,559.07
  5. Step 5: Solve for x
    x = 291,391,559.07/17,267.46
  6. Step 6: Final answer
    x = 16,875.18

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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.