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Finding the Fourth Proportional to 23,105.88, 31,891.05 and 14,602.59

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Solution

The fourth proportional to 23,105.88, 31,891.05 and 14,602.59 is: 20,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.88 : 31,891.05 = 14,602.59 : x
  2. Step 2: Convert to fraction form
    23,105.88/31,891.05 = 14,602.59/x
  3. Step 3: Cross multiply
    23,105.88x = 31,891.05 × 14,602.59
  4. Step 4: Simplify right side
    23,105.88x = 465,691,927.82
  5. Step 5: Solve for x
    x = 465,691,927.82/23,105.88
  6. Step 6: Final answer
    x = 20,154.69

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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.