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Finding the Fourth Proportional to 26,193.71, 36,148.10 and 14,257.82

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Solution

The fourth proportional to 26,193.71, 36,148.10 and 14,257.82 is: 19,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,193.71 : 36,148.10 = 14,257.82 : x
  2. Step 2: Convert to fraction form
    26,193.71/36,148.10 = 14,257.82/x
  3. Step 3: Cross multiply
    26,193.71x = 36,148.10 × 14,257.82
  4. Step 4: Simplify right side
    26,193.71x = 515,392,851.11
  5. Step 5: Solve for x
    x = 515,392,851.11/26,193.71
  6. Step 6: Final answer
    x = 19,676.21

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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.