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Finding the Fourth Proportional to 14,898, 22,327.56 and 6,139.48

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Solution

The fourth proportional to 14,898, 22,327.56 and 6,139.48 is: 9,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,898 : 22,327.56 = 6,139.48 : x
  2. Step 2: Convert to fraction form
    14,898/22,327.56 = 6,139.48/x
  3. Step 3: Cross multiply
    14,898x = 22,327.56 × 6,139.48
  4. Step 4: Simplify right side
    14,898x = 137,079,608.07
  5. Step 5: Solve for x
    x = 137,079,608.07/14,898
  6. Step 6: Final answer
    x = 9,201.21

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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.