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Finding the Fourth Proportional to 24,238.80, 36,342 and 19,564.56

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Solution

The fourth proportional to 24,238.80, 36,342 and 19,564.56 is: 29,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,238.80 : 36,342 = 19,564.56 : x
  2. Step 2: Convert to fraction form
    24,238.80/36,342 = 19,564.56/x
  3. Step 3: Cross multiply
    24,238.80x = 36,342 × 19,564.56
  4. Step 4: Simplify right side
    24,238.80x = 711,015,239.52
  5. Step 5: Solve for x
    x = 711,015,239.52/24,238.80
  6. Step 6: Final answer
    x = 29,333.76

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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.