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Finding the Fourth Proportional to 19,875.18, 29,819.01 and 8,193.90

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Solution

The fourth proportional to 19,875.18, 29,819.01 and 8,193.90 is: 12,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.18 : 29,819.01 = 8,193.90 : x
  2. Step 2: Convert to fraction form
    19,875.18/29,819.01 = 8,193.90/x
  3. Step 3: Cross multiply
    19,875.18x = 29,819.01 × 8,193.90
  4. Step 4: Simplify right side
    19,875.18x = 244,333,986.04
  5. Step 5: Solve for x
    x = 244,333,986.04/19,875.18
  6. Step 6: Final answer
    x = 12,293.42

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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.