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Finding the Fourth Proportional to 23,267.97, 32,110.43 and 12,658.32

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Solution

The fourth proportional to 23,267.97, 32,110.43 and 12,658.32 is: 17,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,267.97 : 32,110.43 = 12,658.32 : x
  2. Step 2: Convert to fraction form
    23,267.97/32,110.43 = 12,658.32/x
  3. Step 3: Cross multiply
    23,267.97x = 32,110.43 × 12,658.32
  4. Step 4: Simplify right side
    23,267.97x = 406,464,034.99
  5. Step 5: Solve for x
    x = 406,464,034.99/23,267.97
  6. Step 6: Final answer
    x = 17,468.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.