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Finding the Fourth Proportional to 24,777.68, 34,145.99 and 24,322.22

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Solution

The fourth proportional to 24,777.68, 34,145.99 and 24,322.22 is: 33,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,777.68 : 34,145.99 = 24,322.22 : x
  2. Step 2: Convert to fraction form
    24,777.68/34,145.99 = 24,322.22/x
  3. Step 3: Cross multiply
    24,777.68x = 34,145.99 × 24,322.22
  4. Step 4: Simplify right side
    24,777.68x = 830,505,988.56
  5. Step 5: Solve for x
    x = 830,505,988.56/24,777.68
  6. Step 6: Final answer
    x = 33,518.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.