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Finding the Fourth Proportional to 14,658.84, 20,185.74 and 14,331.96

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Solution

The fourth proportional to 14,658.84, 20,185.74 and 14,331.96 is: 19,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.84 : 20,185.74 = 14,331.96 : x
  2. Step 2: Convert to fraction form
    14,658.84/20,185.74 = 14,331.96/x
  3. Step 3: Cross multiply
    14,658.84x = 20,185.74 × 14,331.96
  4. Step 4: Simplify right side
    14,658.84x = 289,301,218.25
  5. Step 5: Solve for x
    x = 289,301,218.25/14,658.84
  6. Step 6: Final answer
    x = 19,735.61

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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.