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Finding the Fourth Proportional to 19,877.66, 29,805.15 and 8,176.94

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Solution

The fourth proportional to 19,877.66, 29,805.15 and 8,176.94 is: 12,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.66 : 29,805.15 = 8,176.94 : x
  2. Step 2: Convert to fraction form
    19,877.66/29,805.15 = 8,176.94/x
  3. Step 3: Cross multiply
    19,877.66x = 29,805.15 × 8,176.94
  4. Step 4: Simplify right side
    19,877.66x = 243,715,028.42
  5. Step 5: Solve for x
    x = 243,715,028.42/19,877.66
  6. Step 6: Final answer
    x = 12,260.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.