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Finding the Fourth Proportional to 24,224.61, 36,322.28 and 15,797.37

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Solution

The fourth proportional to 24,224.61, 36,322.28 and 15,797.37 is: 23,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224.61 : 36,322.28 = 15,797.37 : x
  2. Step 2: Convert to fraction form
    24,224.61/36,322.28 = 15,797.37/x
  3. Step 3: Cross multiply
    24,224.61x = 36,322.28 × 15,797.37
  4. Step 4: Simplify right side
    24,224.61x = 573,796,417.42
  5. Step 5: Solve for x
    x = 573,796,417.42/24,224.61
  6. Step 6: Final answer
    x = 23,686.51

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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.