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Finding the Fourth Proportional to 14,707.62, 20,296.98 and 11,164.68

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Solution

The fourth proportional to 14,707.62, 20,296.98 and 11,164.68 is: 15,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.62 : 20,296.98 = 11,164.68 : x
  2. Step 2: Convert to fraction form
    14,707.62/20,296.98 = 11,164.68/x
  3. Step 3: Cross multiply
    14,707.62x = 20,296.98 × 11,164.68
  4. Step 4: Simplify right side
    14,707.62x = 226,609,286.67
  5. Step 5: Solve for x
    x = 226,609,286.67/14,707.62
  6. Step 6: Final answer
    x = 15,407.61

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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.