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Finding the Fourth Proportional to 14,736.69, 20,337.13 and 8,022.56

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Solution

The fourth proportional to 14,736.69, 20,337.13 and 8,022.56 is: 11,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,736.69 : 20,337.13 = 8,022.56 : x
  2. Step 2: Convert to fraction form
    14,736.69/20,337.13 = 8,022.56/x
  3. Step 3: Cross multiply
    14,736.69x = 20,337.13 × 8,022.56
  4. Step 4: Simplify right side
    14,736.69x = 163,155,845.65
  5. Step 5: Solve for x
    x = 163,155,845.65/14,736.69
  6. Step 6: Final answer
    x = 11,071.40

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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.