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Finding the Fourth Proportional to 19,870.13, 29,818.86 and 8,183.34

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Solution

The fourth proportional to 19,870.13, 29,818.86 and 8,183.34 is: 12,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.13 : 29,818.86 = 8,183.34 : x
  2. Step 2: Convert to fraction form
    19,870.13/29,818.86 = 8,183.34/x
  3. Step 3: Cross multiply
    19,870.13x = 29,818.86 × 8,183.34
  4. Step 4: Simplify right side
    19,870.13x = 244,017,869.79
  5. Step 5: Solve for x
    x = 244,017,869.79/19,870.13
  6. Step 6: Final answer
    x = 12,280.64

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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.