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Finding the Fourth Proportional to 24,422, 36,633.04 and 8,835.98

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Solution

The fourth proportional to 24,422, 36,633.04 and 8,835.98 is: 13,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,422 : 36,633.04 = 8,835.98 : x
  2. Step 2: Convert to fraction form
    24,422/36,633.04 = 8,835.98/x
  3. Step 3: Cross multiply
    24,422x = 36,633.04 × 8,835.98
  4. Step 4: Simplify right side
    24,422x = 323,688,808.78
  5. Step 5: Solve for x
    x = 323,688,808.78/24,422
  6. Step 6: Final answer
    x = 13,253.98

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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.