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Finding the Fourth Proportional to 14,658.24, 21,992.64 and 9,103.68

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Solution

The fourth proportional to 14,658.24, 21,992.64 and 9,103.68 is: 13,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.24 : 21,992.64 = 9,103.68 : x
  2. Step 2: Convert to fraction form
    14,658.24/21,992.64 = 9,103.68/x
  3. Step 3: Cross multiply
    14,658.24x = 21,992.64 × 9,103.68
  4. Step 4: Simplify right side
    14,658.24x = 200,213,956.92
  5. Step 5: Solve for x
    x = 200,213,956.92/14,658.24
  6. Step 6: Final answer
    x = 13,658.80

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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.