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Finding the Fourth Proportional to 14,600.71, 20,148.96 and 8,313.09

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Solution

The fourth proportional to 14,600.71, 20,148.96 and 8,313.09 is: 11,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.71 : 20,148.96 = 8,313.09 : x
  2. Step 2: Convert to fraction form
    14,600.71/20,148.96 = 8,313.09/x
  3. Step 3: Cross multiply
    14,600.71x = 20,148.96 × 8,313.09
  4. Step 4: Simplify right side
    14,600.71x = 167,500,117.89
  5. Step 5: Solve for x
    x = 167,500,117.89/14,600.71
  6. Step 6: Final answer
    x = 11,472.05

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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.