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Finding the Fourth Proportional to 24,563.88, 36,840.42 and 9,770.04

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Solution

The fourth proportional to 24,563.88, 36,840.42 and 9,770.04 is: 14,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.88 : 36,840.42 = 9,770.04 : x
  2. Step 2: Convert to fraction form
    24,563.88/36,840.42 = 9,770.04/x
  3. Step 3: Cross multiply
    24,563.88x = 36,840.42 × 9,770.04
  4. Step 4: Simplify right side
    24,563.88x = 359,932,377.02
  5. Step 5: Solve for x
    x = 359,932,377.02/24,563.88
  6. Step 6: Final answer
    x = 14,652.91

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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.