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Finding the Fourth Proportional to 24,495.76, 36,745.31 and 9,704.66

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Solution

The fourth proportional to 24,495.76, 36,745.31 and 9,704.66 is: 14,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495.76 : 36,745.31 = 9,704.66 : x
  2. Step 2: Convert to fraction form
    24,495.76/36,745.31 = 9,704.66/x
  3. Step 3: Cross multiply
    24,495.76x = 36,745.31 × 9,704.66
  4. Step 4: Simplify right side
    24,495.76x = 356,600,507.89
  5. Step 5: Solve for x
    x = 356,600,507.89/24,495.76
  6. Step 6: Final answer
    x = 14,557.64

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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.