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Finding the Fourth Proportional to 24,462.64, 36,698.46 and 10,422.64

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Solution

The fourth proportional to 24,462.64, 36,698.46 and 10,422.64 is: 15,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.64 : 36,698.46 = 10,422.64 : x
  2. Step 2: Convert to fraction form
    24,462.64/36,698.46 = 10,422.64/x
  3. Step 3: Cross multiply
    24,462.64x = 36,698.46 × 10,422.64
  4. Step 4: Simplify right side
    24,462.64x = 382,494,837.13
  5. Step 5: Solve for x
    x = 382,494,837.13/24,462.64
  6. Step 6: Final answer
    x = 15,635.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.