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Finding the Fourth Proportional to 14,733.86, 20,333.17 and 8,019.93

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Solution

The fourth proportional to 14,733.86, 20,333.17 and 8,019.93 is: 11,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,733.86 : 20,333.17 = 8,019.93 : x
  2. Step 2: Convert to fraction form
    14,733.86/20,333.17 = 8,019.93/x
  3. Step 3: Cross multiply
    14,733.86x = 20,333.17 × 8,019.93
  4. Step 4: Simplify right side
    14,733.86x = 163,070,458.31
  5. Step 5: Solve for x
    x = 163,070,458.31/14,733.86
  6. Step 6: Final answer
    x = 11,067.74

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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.