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Finding the Fourth Proportional to 23,477.97, 32,399.53 and 12,723.14

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Solution

The fourth proportional to 23,477.97, 32,399.53 and 12,723.14 is: 17,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.97 : 32,399.53 = 12,723.14 : x
  2. Step 2: Convert to fraction form
    23,477.97/32,399.53 = 12,723.14/x
  3. Step 3: Cross multiply
    23,477.97x = 32,399.53 × 12,723.14
  4. Step 4: Simplify right side
    23,477.97x = 412,223,755.38
  5. Step 5: Solve for x
    x = 412,223,755.38/23,477.97
  6. Step 6: Final answer
    x = 17,557.90

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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.