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Finding the Fourth Proportional to 14,777.22, 22,153.21 and 6,451

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Solution

The fourth proportional to 14,777.22, 22,153.21 and 6,451 is: 9,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.22 : 22,153.21 = 6,451 : x
  2. Step 2: Convert to fraction form
    14,777.22/22,153.21 = 6,451/x
  3. Step 3: Cross multiply
    14,777.22x = 22,153.21 × 6,451
  4. Step 4: Simplify right side
    14,777.22x = 142,910,357.71
  5. Step 5: Solve for x
    x = 142,910,357.71/14,777.22
  6. Step 6: Final answer
    x = 9,670.99

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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.