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Finding the Fourth Proportional to 13,098.41, 19,651.71 and 8,423.70

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Solution

The fourth proportional to 13,098.41, 19,651.71 and 8,423.70 is: 12,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.41 : 19,651.71 = 8,423.70 : x
  2. Step 2: Convert to fraction form
    13,098.41/19,651.71 = 8,423.70/x
  3. Step 3: Cross multiply
    13,098.41x = 19,651.71 × 8,423.70
  4. Step 4: Simplify right side
    13,098.41x = 165,540,011.27
  5. Step 5: Solve for x
    x = 165,540,011.27/13,098.41
  6. Step 6: Final answer
    x = 12,638.18

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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.