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Finding the Fourth Proportional to 14,400.09, 19,873.34 and 8,113.68

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Solution

The fourth proportional to 14,400.09, 19,873.34 and 8,113.68 is: 11,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.09 : 19,873.34 = 8,113.68 : x
  2. Step 2: Convert to fraction form
    14,400.09/19,873.34 = 8,113.68/x
  3. Step 3: Cross multiply
    14,400.09x = 19,873.34 × 8,113.68
  4. Step 4: Simplify right side
    14,400.09x = 161,245,921.29
  5. Step 5: Solve for x
    x = 161,245,921.29/14,400.09
  6. Step 6: Final answer
    x = 11,197.56

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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.