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Finding the Fourth Proportional to 12,312.27, 18,445.05 and 7,304.07

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Solution

The fourth proportional to 12,312.27, 18,445.05 and 7,304.07 is: 10,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.27 : 18,445.05 = 7,304.07 : x
  2. Step 2: Convert to fraction form
    12,312.27/18,445.05 = 7,304.07/x
  3. Step 3: Cross multiply
    12,312.27x = 18,445.05 × 7,304.07
  4. Step 4: Simplify right side
    12,312.27x = 134,723,846.95
  5. Step 5: Solve for x
    x = 134,723,846.95/12,312.27
  6. Step 6: Final answer
    x = 10,942.24

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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.