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Finding the Fourth Proportional to 23,776.52, 32,813.44 and 13,167.14

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Solution

The fourth proportional to 23,776.52, 32,813.44 and 13,167.14 is: 18,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.52 : 32,813.44 = 13,167.14 : x
  2. Step 2: Convert to fraction form
    23,776.52/32,813.44 = 13,167.14/x
  3. Step 3: Cross multiply
    23,776.52x = 32,813.44 × 13,167.14
  4. Step 4: Simplify right side
    23,776.52x = 432,058,961.38
  5. Step 5: Solve for x
    x = 432,058,961.38/23,776.52
  6. Step 6: Final answer
    x = 18,171.67

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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.