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Finding the Fourth Proportional to 14,851.10, 22,274.16 and 6,954.44

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Solution

The fourth proportional to 14,851.10, 22,274.16 and 6,954.44 is: 10,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,851.10 : 22,274.16 = 6,954.44 : x
  2. Step 2: Convert to fraction form
    14,851.10/22,274.16 = 6,954.44/x
  3. Step 3: Cross multiply
    14,851.10x = 22,274.16 × 6,954.44
  4. Step 4: Simplify right side
    14,851.10x = 154,904,309.27
  5. Step 5: Solve for x
    x = 154,904,309.27/14,851.10
  6. Step 6: Final answer
    x = 10,430.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.