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Finding the Fourth Proportional to 29,204, 40,301.52 and 15,956

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Solution

The fourth proportional to 29,204, 40,301.52 and 15,956 is: 22,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,204 : 40,301.52 = 15,956 : x
  2. Step 2: Convert to fraction form
    29,204/40,301.52 = 15,956/x
  3. Step 3: Cross multiply
    29,204x = 40,301.52 × 15,956
  4. Step 4: Simplify right side
    29,204x = 643,051,053.12
  5. Step 5: Solve for x
    x = 643,051,053.12/29,204
  6. Step 6: Final answer
    x = 22,019.28

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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.