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Finding the Fourth Proportional to 19,898.34, 29,818.35 and 8,219.76

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Solution

The fourth proportional to 19,898.34, 29,818.35 and 8,219.76 is: 12,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.34 : 29,818.35 = 8,219.76 : x
  2. Step 2: Convert to fraction form
    19,898.34/29,818.35 = 8,219.76/x
  3. Step 3: Cross multiply
    19,898.34x = 29,818.35 × 8,219.76
  4. Step 4: Simplify right side
    19,898.34x = 245,099,680.60
  5. Step 5: Solve for x
    x = 245,099,680.60/19,898.34
  6. Step 6: Final answer
    x = 12,317.59

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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.