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Finding the Fourth Proportional to 29,606.83, 40,855.71 and 16,178.20

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Solution

The fourth proportional to 29,606.83, 40,855.71 and 16,178.20 is: 22,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,606.83 : 40,855.71 = 16,178.20 : x
  2. Step 2: Convert to fraction form
    29,606.83/40,855.71 = 16,178.20/x
  3. Step 3: Cross multiply
    29,606.83x = 40,855.71 × 16,178.20
  4. Step 4: Simplify right side
    29,606.83x = 660,971,715.05
  5. Step 5: Solve for x
    x = 660,971,715.05/29,606.83
  6. Step 6: Final answer
    x = 22,324.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.