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Finding the Fourth Proportional to 24,050.84, 36,076.50 and 8,468.60

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Solution

The fourth proportional to 24,050.84, 36,076.50 and 8,468.60 is: 12,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,050.84 : 36,076.50 = 8,468.60 : x
  2. Step 2: Convert to fraction form
    24,050.84/36,076.50 = 8,468.60/x
  3. Step 3: Cross multiply
    24,050.84x = 36,076.50 × 8,468.60
  4. Step 4: Simplify right side
    24,050.84x = 305,517,447.90
  5. Step 5: Solve for x
    x = 305,517,447.90/24,050.84
  6. Step 6: Final answer
    x = 12,702.98

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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.