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Finding the Fourth Proportional to 19,852.92, 29,779.38 and 8,167.05

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Solution

The fourth proportional to 19,852.92, 29,779.38 and 8,167.05 is: 12,250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.92 : 29,779.38 = 8,167.05 : x
  2. Step 2: Convert to fraction form
    19,852.92/29,779.38 = 8,167.05/x
  3. Step 3: Cross multiply
    19,852.92x = 29,779.38 × 8,167.05
  4. Step 4: Simplify right side
    19,852.92x = 243,209,685.43
  5. Step 5: Solve for x
    x = 243,209,685.43/19,852.92
  6. Step 6: Final answer
    x = 12,250.58

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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.