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Finding the Fourth Proportional to 23,101.77, 31,881.53 and 13,029.99

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Solution

The fourth proportional to 23,101.77, 31,881.53 and 13,029.99 is: 17,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.77 : 31,881.53 = 13,029.99 : x
  2. Step 2: Convert to fraction form
    23,101.77/31,881.53 = 13,029.99/x
  3. Step 3: Cross multiply
    23,101.77x = 31,881.53 × 13,029.99
  4. Step 4: Simplify right side
    23,101.77x = 415,415,951.93
  5. Step 5: Solve for x
    x = 415,415,951.93/23,101.77
  6. Step 6: Final answer
    x = 17,982.00

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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.