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Finding the Fourth Proportional to 23,106.92, 31,887.74 and 12,759

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Solution

The fourth proportional to 23,106.92, 31,887.74 and 12,759 is: 17,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.92 : 31,887.74 = 12,759 : x
  2. Step 2: Convert to fraction form
    23,106.92/31,887.74 = 12,759/x
  3. Step 3: Cross multiply
    23,106.92x = 31,887.74 × 12,759
  4. Step 4: Simplify right side
    23,106.92x = 406,855,610.87
  5. Step 5: Solve for x
    x = 406,855,610.87/23,106.92
  6. Step 6: Final answer
    x = 17,607.53

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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.