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Finding the Fourth Proportional to 26,449.62, 36,496.62 and 15,837

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Solution

The fourth proportional to 26,449.62, 36,496.62 and 15,837 is: 21,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,449.62 : 36,496.62 = 15,837 : x
  2. Step 2: Convert to fraction form
    26,449.62/36,496.62 = 15,837/x
  3. Step 3: Cross multiply
    26,449.62x = 36,496.62 × 15,837
  4. Step 4: Simplify right side
    26,449.62x = 577,996,970.94
  5. Step 5: Solve for x
    x = 577,996,970.94/26,449.62
  6. Step 6: Final answer
    x = 21,852.75

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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.