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Finding the Fourth Proportional to 26,016, 35,902.08 and 14,837.76

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Solution

The fourth proportional to 26,016, 35,902.08 and 14,837.76 is: 20,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,016 : 35,902.08 = 14,837.76 : x
  2. Step 2: Convert to fraction form
    26,016/35,902.08 = 14,837.76/x
  3. Step 3: Cross multiply
    26,016x = 35,902.08 × 14,837.76
  4. Step 4: Simplify right side
    26,016x = 532,706,446.54
  5. Step 5: Solve for x
    x = 532,706,446.54/26,016
  6. Step 6: Final answer
    x = 20,476.11

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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.