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Finding the Fourth Proportional to 16,537.62, 24,773.60 and 7,745.88

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Solution

The fourth proportional to 16,537.62, 24,773.60 and 7,745.88 is: 11,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.62 : 24,773.60 = 7,745.88 : x
  2. Step 2: Convert to fraction form
    16,537.62/24,773.60 = 7,745.88/x
  3. Step 3: Cross multiply
    16,537.62x = 24,773.60 × 7,745.88
  4. Step 4: Simplify right side
    16,537.62x = 191,893,332.77
  5. Step 5: Solve for x
    x = 191,893,332.77/16,537.62
  6. Step 6: Final answer
    x = 11,603.44

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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.