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Finding the Fourth Proportional to 13,066.96, 18,023.20 and 8,033.94

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Solution

The fourth proportional to 13,066.96, 18,023.20 and 8,033.94 is: 11,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.96 : 18,023.20 = 8,033.94 : x
  2. Step 2: Convert to fraction form
    13,066.96/18,023.20 = 8,033.94/x
  3. Step 3: Cross multiply
    13,066.96x = 18,023.20 × 8,033.94
  4. Step 4: Simplify right side
    13,066.96x = 144,797,307.41
  5. Step 5: Solve for x
    x = 144,797,307.41/13,066.96
  6. Step 6: Final answer
    x = 11,081.18

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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.