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Finding the Fourth Proportional to 29,927.40, 41,298.03 and 16,499.22

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Solution

The fourth proportional to 29,927.40, 41,298.03 and 16,499.22 is: 22,767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,927.40 : 41,298.03 = 16,499.22 : x
  2. Step 2: Convert to fraction form
    29,927.40/41,298.03 = 16,499.22/x
  3. Step 3: Cross multiply
    29,927.40x = 41,298.03 × 16,499.22
  4. Step 4: Simplify right side
    29,927.40x = 681,385,282.54
  5. Step 5: Solve for x
    x = 681,385,282.54/29,927.40
  6. Step 6: Final answer
    x = 22,767.94

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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.