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Finding the Fourth Proportional to 21,510.50, 32,266.97 and 7,659.50

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Solution

The fourth proportional to 21,510.50, 32,266.97 and 7,659.50 is: 11,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510.50 : 32,266.97 = 7,659.50 : x
  2. Step 2: Convert to fraction form
    21,510.50/32,266.97 = 7,659.50/x
  3. Step 3: Cross multiply
    21,510.50x = 32,266.97 × 7,659.50
  4. Step 4: Simplify right side
    21,510.50x = 247,148,818.42
  5. Step 5: Solve for x
    x = 247,148,818.42/21,510.50
  6. Step 6: Final answer
    x = 11,489.68

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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.