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Finding the Fourth Proportional to 29,394.34, 40,564.04 and 15,965.50

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Solution

The fourth proportional to 29,394.34, 40,564.04 and 15,965.50 is: 22,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,394.34 : 40,564.04 = 15,965.50 : x
  2. Step 2: Convert to fraction form
    29,394.34/40,564.04 = 15,965.50/x
  3. Step 3: Cross multiply
    29,394.34x = 40,564.04 × 15,965.50
  4. Step 4: Simplify right side
    29,394.34x = 647,625,180.62
  5. Step 5: Solve for x
    x = 647,625,180.62/29,394.34
  6. Step 6: Final answer
    x = 22,032.31

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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.