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Finding the Fourth Proportional to 23,105.61, 31,889.03 and 13,034.98

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Solution

The fourth proportional to 23,105.61, 31,889.03 and 13,034.98 is: 17,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.61 : 31,889.03 = 13,034.98 : x
  2. Step 2: Convert to fraction form
    23,105.61/31,889.03 = 13,034.98/x
  3. Step 3: Cross multiply
    23,105.61x = 31,889.03 × 13,034.98
  4. Step 4: Simplify right side
    23,105.61x = 415,672,803.09
  5. Step 5: Solve for x
    x = 415,672,803.09/23,105.61
  6. Step 6: Final answer
    x = 17,990.13

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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.