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Finding the Fourth Proportional to 15,154.02, 22,722 and 6,262.44

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Solution

The fourth proportional to 15,154.02, 22,722 and 6,262.44 is: 9,389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,154.02 : 22,722 = 6,262.44 : x
  2. Step 2: Convert to fraction form
    15,154.02/22,722 = 6,262.44/x
  3. Step 3: Cross multiply
    15,154.02x = 22,722 × 6,262.44
  4. Step 4: Simplify right side
    15,154.02x = 142,295,161.68
  5. Step 5: Solve for x
    x = 142,295,161.68/15,154.02
  6. Step 6: Final answer
    x = 9,389.93

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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.