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Finding the Fourth Proportional to 15,217.16, 22,814.78 and 10,274.54

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Solution

The fourth proportional to 15,217.16, 22,814.78 and 10,274.54 is: 15,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,217.16 : 22,814.78 = 10,274.54 : x
  2. Step 2: Convert to fraction form
    15,217.16/22,814.78 = 10,274.54/x
  3. Step 3: Cross multiply
    15,217.16x = 22,814.78 × 10,274.54
  4. Step 4: Simplify right side
    15,217.16x = 234,411,369.70
  5. Step 5: Solve for x
    x = 234,411,369.70/15,217.16
  6. Step 6: Final answer
    x = 15,404.41

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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.