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Finding the Fourth Proportional to 14,658.30, 20,237.64 and 11,294.73

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Solution

The fourth proportional to 14,658.30, 20,237.64 and 11,294.73 is: 15,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.30 : 20,237.64 = 11,294.73 : x
  2. Step 2: Convert to fraction form
    14,658.30/20,237.64 = 11,294.73/x
  3. Step 3: Cross multiply
    14,658.30x = 20,237.64 × 11,294.73
  4. Step 4: Simplify right side
    14,658.30x = 228,578,679.64
  5. Step 5: Solve for x
    x = 228,578,679.64/14,658.30
  6. Step 6: Final answer
    x = 15,593.81

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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.