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Finding the Fourth Proportional to 14,771.96, 20,392.83 and 11,407.22

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Solution

The fourth proportional to 14,771.96, 20,392.83 and 11,407.22 is: 15,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.96 : 20,392.83 = 11,407.22 : x
  2. Step 2: Convert to fraction form
    14,771.96/20,392.83 = 11,407.22/x
  3. Step 3: Cross multiply
    14,771.96x = 20,392.83 × 11,407.22
  4. Step 4: Simplify right side
    14,771.96x = 232,625,498.23
  5. Step 5: Solve for x
    x = 232,625,498.23/14,771.96
  6. Step 6: Final answer
    x = 15,747.77

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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.