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Finding the Fourth Proportional to 21,665.50, 32,494.14 and 10,561.02

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Solution

The fourth proportional to 21,665.50, 32,494.14 and 10,561.02 is: 15,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.50 : 32,494.14 = 10,561.02 : x
  2. Step 2: Convert to fraction form
    21,665.50/32,494.14 = 10,561.02/x
  3. Step 3: Cross multiply
    21,665.50x = 32,494.14 × 10,561.02
  4. Step 4: Simplify right side
    21,665.50x = 343,171,262.42
  5. Step 5: Solve for x
    x = 343,171,262.42/21,665.50
  6. Step 6: Final answer
    x = 15,839.53

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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.