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Finding the Fourth Proportional to 23,261.97, 32,101.77 and 12,651.61

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Solution

The fourth proportional to 23,261.97, 32,101.77 and 12,651.61 is: 17,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,261.97 : 32,101.77 = 12,651.61 : x
  2. Step 2: Convert to fraction form
    23,261.97/32,101.77 = 12,651.61/x
  3. Step 3: Cross multiply
    23,261.97x = 32,101.77 × 12,651.61
  4. Step 4: Simplify right side
    23,261.97x = 406,139,074.35
  5. Step 5: Solve for x
    x = 406,139,074.35/23,261.97
  6. Step 6: Final answer
    x = 17,459.36

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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.