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Finding the Fourth Proportional to 29,322.38, 40,464.65 and 15,893.28

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Solution

The fourth proportional to 29,322.38, 40,464.65 and 15,893.28 is: 21,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,322.38 : 40,464.65 = 15,893.28 : x
  2. Step 2: Convert to fraction form
    29,322.38/40,464.65 = 15,893.28/x
  3. Step 3: Cross multiply
    29,322.38x = 40,464.65 × 15,893.28
  4. Step 4: Simplify right side
    29,322.38x = 643,115,933.09
  5. Step 5: Solve for x
    x = 643,115,933.09/29,322.38
  6. Step 6: Final answer
    x = 21,932.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.