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Finding the Fourth Proportional to 24,794.10, 37,196.28 and 7,262.46

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Solution

The fourth proportional to 24,794.10, 37,196.28 and 7,262.46 is: 10,895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794.10 : 37,196.28 = 7,262.46 : x
  2. Step 2: Convert to fraction form
    24,794.10/37,196.28 = 7,262.46/x
  3. Step 3: Cross multiply
    24,794.10x = 37,196.28 × 7,262.46
  4. Step 4: Simplify right side
    24,794.10x = 270,136,495.65
  5. Step 5: Solve for x
    x = 270,136,495.65/24,794.10
  6. Step 6: Final answer
    x = 10,895.19

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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.