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Finding the Fourth Proportional to 14,758.19, 22,137.82 and 5,992.91

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Solution

The fourth proportional to 14,758.19, 22,137.82 and 5,992.91 is: 8,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,758.19 : 22,137.82 = 5,992.91 : x
  2. Step 2: Convert to fraction form
    14,758.19/22,137.82 = 5,992.91/x
  3. Step 3: Cross multiply
    14,758.19x = 22,137.82 × 5,992.91
  4. Step 4: Simplify right side
    14,758.19x = 132,669,962.86
  5. Step 5: Solve for x
    x = 132,669,962.86/14,758.19
  6. Step 6: Final answer
    x = 8,989.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.