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Finding the Fourth Proportional to 12,274.62, 18,411.93 and 9,369.42

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Solution

The fourth proportional to 12,274.62, 18,411.93 and 9,369.42 is: 14,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.62 : 18,411.93 = 9,369.42 : x
  2. Step 2: Convert to fraction form
    12,274.62/18,411.93 = 9,369.42/x
  3. Step 3: Cross multiply
    12,274.62x = 18,411.93 × 9,369.42
  4. Step 4: Simplify right side
    12,274.62x = 172,509,105.18
  5. Step 5: Solve for x
    x = 172,509,105.18/12,274.62
  6. Step 6: Final answer
    x = 14,054.13

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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.