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Finding the Fourth Proportional to 14,282.70, 19,684.14 and 11,748.62

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Solution

The fourth proportional to 14,282.70, 19,684.14 and 11,748.62 is: 16,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.70 : 19,684.14 = 11,748.62 : x
  2. Step 2: Convert to fraction form
    14,282.70/19,684.14 = 11,748.62/x
  3. Step 3: Cross multiply
    14,282.70x = 19,684.14 × 11,748.62
  4. Step 4: Simplify right side
    14,282.70x = 231,261,480.89
  5. Step 5: Solve for x
    x = 231,261,480.89/14,282.70
  6. Step 6: Final answer
    x = 16,191.72

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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.