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Finding the Fourth Proportional to 19,876.94, 29,823.10 and 8,775.80

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Solution

The fourth proportional to 19,876.94, 29,823.10 and 8,775.80 is: 13,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.94 : 29,823.10 = 8,775.80 : x
  2. Step 2: Convert to fraction form
    19,876.94/29,823.10 = 8,775.80/x
  3. Step 3: Cross multiply
    19,876.94x = 29,823.10 × 8,775.80
  4. Step 4: Simplify right side
    19,876.94x = 261,721,560.98
  5. Step 5: Solve for x
    x = 261,721,560.98/19,876.94
  6. Step 6: Final answer
    x = 13,167.10

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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.