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Finding the Fourth Proportional to 13,833.47, 20,771.10 and 11,051.88

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Solution

The fourth proportional to 13,833.47, 20,771.10 and 11,051.88 is: 16,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.47 : 20,771.10 = 11,051.88 : x
  2. Step 2: Convert to fraction form
    13,833.47/20,771.10 = 11,051.88/x
  3. Step 3: Cross multiply
    13,833.47x = 20,771.10 × 11,051.88
  4. Step 4: Simplify right side
    13,833.47x = 229,559,704.67
  5. Step 5: Solve for x
    x = 229,559,704.67/13,833.47
  6. Step 6: Final answer
    x = 16,594.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.