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Finding the Fourth Proportional to 23,109.98, 31,891.68 and 12,499.64

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Solution

The fourth proportional to 23,109.98, 31,891.68 and 12,499.64 is: 17,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.98 : 31,891.68 = 12,499.64 : x
  2. Step 2: Convert to fraction form
    23,109.98/31,891.68 = 12,499.64/x
  3. Step 3: Cross multiply
    23,109.98x = 31,891.68 × 12,499.64
  4. Step 4: Simplify right side
    23,109.98x = 398,634,519.00
  5. Step 5: Solve for x
    x = 398,634,519.00/23,109.98
  6. Step 6: Final answer
    x = 17,249.45

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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.