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Finding the Fourth Proportional to 29,298.32, 40,431.36 and 15,869.24

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Solution

The fourth proportional to 29,298.32, 40,431.36 and 15,869.24 is: 21,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,298.32 : 40,431.36 = 15,869.24 : x
  2. Step 2: Convert to fraction form
    29,298.32/40,431.36 = 15,869.24/x
  3. Step 3: Cross multiply
    29,298.32x = 40,431.36 × 15,869.24
  4. Step 4: Simplify right side
    29,298.32x = 641,614,955.37
  5. Step 5: Solve for x
    x = 641,614,955.37/29,298.32
  6. Step 6: Final answer
    x = 21,899.38

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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.