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Finding the Fourth Proportional to 29,394.66, 40,564.62 and 15,965.94

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Solution

The fourth proportional to 29,394.66, 40,564.62 and 15,965.94 is: 22,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,394.66 : 40,564.62 = 15,965.94 : x
  2. Step 2: Convert to fraction form
    29,394.66/40,564.62 = 15,965.94/x
  3. Step 3: Cross multiply
    29,394.66x = 40,564.62 × 15,965.94
  4. Step 4: Simplify right side
    29,394.66x = 647,652,289.04
  5. Step 5: Solve for x
    x = 647,652,289.04/29,394.66
  6. Step 6: Final answer
    x = 22,032.99

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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.