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Finding the Fourth Proportional to 23,239.76, 32,082.76 and 17,922.64

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Solution

The fourth proportional to 23,239.76, 32,082.76 and 17,922.64 is: 24,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,239.76 : 32,082.76 = 17,922.64 : x
  2. Step 2: Convert to fraction form
    23,239.76/32,082.76 = 17,922.64/x
  3. Step 3: Cross multiply
    23,239.76x = 32,082.76 × 17,922.64
  4. Step 4: Simplify right side
    23,239.76x = 575,007,757.69
  5. Step 5: Solve for x
    x = 575,007,757.69/23,239.76
  6. Step 6: Final answer
    x = 24,742.41

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1.5x scale

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.