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Finding the Fourth Proportional to 29,644.11, 40,907.70 and 16,215.39

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Solution

The fourth proportional to 29,644.11, 40,907.70 and 16,215.39 is: 22,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,644.11 : 40,907.70 = 16,215.39 : x
  2. Step 2: Convert to fraction form
    29,644.11/40,907.70 = 16,215.39/x
  3. Step 3: Cross multiply
    29,644.11x = 40,907.70 × 16,215.39
  4. Step 4: Simplify right side
    29,644.11x = 663,334,309.50
  5. Step 5: Solve for x
    x = 663,334,309.50/29,644.11
  6. Step 6: Final answer
    x = 22,376.60

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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.