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Finding the Fourth Proportional to 23,104.59, 31,883 and 13,032.43

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Solution

The fourth proportional to 23,104.59, 31,883 and 13,032.43 is: 17,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.59 : 31,883 = 13,032.43 : x
  2. Step 2: Convert to fraction form
    23,104.59/31,883 = 13,032.43/x
  3. Step 3: Cross multiply
    23,104.59x = 31,883 × 13,032.43
  4. Step 4: Simplify right side
    23,104.59x = 415,512,965.69
  5. Step 5: Solve for x
    x = 415,512,965.69/23,104.59
  6. Step 6: Final answer
    x = 17,984.00

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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.