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Finding the Fourth Proportional to 14,658.64, 20,225.40 and 8,691.77

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Solution

The fourth proportional to 14,658.64, 20,225.40 and 8,691.77 is: 11,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.64 : 20,225.40 = 8,691.77 : x
  2. Step 2: Convert to fraction form
    14,658.64/20,225.40 = 8,691.77/x
  3. Step 3: Cross multiply
    14,658.64x = 20,225.40 × 8,691.77
  4. Step 4: Simplify right side
    14,658.64x = 175,794,542.93
  5. Step 5: Solve for x
    x = 175,794,542.93/14,658.64
  6. Step 6: Final answer
    x = 11,992.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.