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Finding the Fourth Proportional to 21,777.46, 32,669.43 and 7,736.31

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Solution

The fourth proportional to 21,777.46, 32,669.43 and 7,736.31 is: 11,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,777.46 : 32,669.43 = 7,736.31 : x
  2. Step 2: Convert to fraction form
    21,777.46/32,669.43 = 7,736.31/x
  3. Step 3: Cross multiply
    21,777.46x = 32,669.43 × 7,736.31
  4. Step 4: Simplify right side
    21,777.46x = 252,740,838.00
  5. Step 5: Solve for x
    x = 252,740,838.00/21,777.46
  6. Step 6: Final answer
    x = 11,605.62

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1.5x scale

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.