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Finding the Fourth Proportional to 12,491.96, 18,738 and 7,294.19

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Solution

The fourth proportional to 12,491.96, 18,738 and 7,294.19 is: 10,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.96 : 18,738 = 7,294.19 : x
  2. Step 2: Convert to fraction form
    12,491.96/18,738 = 7,294.19/x
  3. Step 3: Cross multiply
    12,491.96x = 18,738 × 7,294.19
  4. Step 4: Simplify right side
    12,491.96x = 136,678,438.53
  5. Step 5: Solve for x
    x = 136,678,438.53/12,491.96
  6. Step 6: Final answer
    x = 10,941.32

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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.