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Finding the Fourth Proportional to 12,199.98, 18,310.26 and 9,434.10

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Solution

The fourth proportional to 12,199.98, 18,310.26 and 9,434.10 is: 14,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.98 : 18,310.26 = 9,434.10 : x
  2. Step 2: Convert to fraction form
    12,199.98/18,310.26 = 9,434.10/x
  3. Step 3: Cross multiply
    12,199.98x = 18,310.26 × 9,434.10
  4. Step 4: Simplify right side
    12,199.98x = 172,740,823.87
  5. Step 5: Solve for x
    x = 172,740,823.87/12,199.98
  6. Step 6: Final answer
    x = 14,159.11

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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.