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Finding the Fourth Proportional to 21,777.50, 32,678.72 and 11,782.57

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Solution

The fourth proportional to 21,777.50, 32,678.72 and 11,782.57 is: 17,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,777.50 : 32,678.72 = 11,782.57 : x
  2. Step 2: Convert to fraction form
    21,777.50/32,678.72 = 11,782.57/x
  3. Step 3: Cross multiply
    21,777.50x = 32,678.72 × 11,782.57
  4. Step 4: Simplify right side
    21,777.50x = 385,039,305.91
  5. Step 5: Solve for x
    x = 385,039,305.91/21,777.50
  6. Step 6: Final answer
    x = 17,680.60

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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.