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Finding the Fourth Proportional to 12,274.26, 18,411.39 and 5,348.76

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Solution

The fourth proportional to 12,274.26, 18,411.39 and 5,348.76 is: 8,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.26 : 18,411.39 = 5,348.76 : x
  2. Step 2: Convert to fraction form
    12,274.26/18,411.39 = 5,348.76/x
  3. Step 3: Cross multiply
    12,274.26x = 18,411.39 × 5,348.76
  4. Step 4: Simplify right side
    12,274.26x = 98,478,106.38
  5. Step 5: Solve for x
    x = 98,478,106.38/12,274.26
  6. Step 6: Final answer
    x = 8,023.14

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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.