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Finding the Fourth Proportional to 12,590.34, 18,863.63 and 8,834.16

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Solution

The fourth proportional to 12,590.34, 18,863.63 and 8,834.16 is: 13,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.34 : 18,863.63 = 8,834.16 : x
  2. Step 2: Convert to fraction form
    12,590.34/18,863.63 = 8,834.16/x
  3. Step 3: Cross multiply
    12,590.34x = 18,863.63 × 8,834.16
  4. Step 4: Simplify right side
    12,590.34x = 166,644,434.99
  5. Step 5: Solve for x
    x = 166,644,434.99/12,590.34
  6. Step 6: Final answer
    x = 13,235.90

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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.