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Finding the Fourth Proportional to 24,466.60, 36,702.60 and 7,823.80

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Solution

The fourth proportional to 24,466.60, 36,702.60 and 7,823.80 is: 11,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466.60 : 36,702.60 = 7,823.80 : x
  2. Step 2: Convert to fraction form
    24,466.60/36,702.60 = 7,823.80/x
  3. Step 3: Cross multiply
    24,466.60x = 36,702.60 × 7,823.80
  4. Step 4: Simplify right side
    24,466.60x = 287,153,801.88
  5. Step 5: Solve for x
    x = 287,153,801.88/24,466.60
  6. Step 6: Final answer
    x = 11,736.56

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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.