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Finding the Fourth Proportional to 24,462.32, 36,698.22 and 10,422.08

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Solution

The fourth proportional to 24,462.32, 36,698.22 and 10,422.08 is: 15,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.32 : 36,698.22 = 10,422.08 : x
  2. Step 2: Convert to fraction form
    24,462.32/36,698.22 = 10,422.08/x
  3. Step 3: Cross multiply
    24,462.32x = 36,698.22 × 10,422.08
  4. Step 4: Simplify right side
    24,462.32x = 382,471,784.70
  5. Step 5: Solve for x
    x = 382,471,784.70/24,462.32
  6. Step 6: Final answer
    x = 15,635.14

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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.