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Finding the Fourth Proportional to 14,539.50, 21,809.25 and 4,151.25

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Solution

The fourth proportional to 14,539.50, 21,809.25 and 4,151.25 is: 6,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.50 : 21,809.25 = 4,151.25 : x
  2. Step 2: Convert to fraction form
    14,539.50/21,809.25 = 4,151.25/x
  3. Step 3: Cross multiply
    14,539.50x = 21,809.25 × 4,151.25
  4. Step 4: Simplify right side
    14,539.50x = 90,535,649.06
  5. Step 5: Solve for x
    x = 90,535,649.06/14,539.50
  6. Step 6: Final answer
    x = 6,226.88

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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.