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Finding the Fourth Proportional to 14,859, 22,290.36 and 5,497.44

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Solution

The fourth proportional to 14,859, 22,290.36 and 5,497.44 is: 8,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,859 : 22,290.36 = 5,497.44 : x
  2. Step 2: Convert to fraction form
    14,859/22,290.36 = 5,497.44/x
  3. Step 3: Cross multiply
    14,859x = 22,290.36 × 5,497.44
  4. Step 4: Simplify right side
    14,859x = 122,539,916.68
  5. Step 5: Solve for x
    x = 122,539,916.68/14,859
  6. Step 6: Final answer
    x = 8,246.85

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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.