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Finding the Fourth Proportional to 29,202, 40,305.96 and 16,634.16

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Solution

The fourth proportional to 29,202, 40,305.96 and 16,634.16 is: 22,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,202 : 40,305.96 = 16,634.16 : x
  2. Step 2: Convert to fraction form
    29,202/40,305.96 = 16,634.16/x
  3. Step 3: Cross multiply
    29,202x = 40,305.96 × 16,634.16
  4. Step 4: Simplify right side
    29,202x = 670,455,787.59
  5. Step 5: Solve for x
    x = 670,455,787.59/29,202
  6. Step 6: Final answer
    x = 22,959.24

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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.