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Finding the Fourth Proportional to 15,214.29, 20,995.71 and 8,499.92

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Solution

The fourth proportional to 15,214.29, 20,995.71 and 8,499.92 is: 11,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214.29 : 20,995.71 = 8,499.92 : x
  2. Step 2: Convert to fraction form
    15,214.29/20,995.71 = 8,499.92/x
  3. Step 3: Cross multiply
    15,214.29x = 20,995.71 × 8,499.92
  4. Step 4: Simplify right side
    15,214.29x = 178,461,750.36
  5. Step 5: Solve for x
    x = 178,461,750.36/15,214.29
  6. Step 6: Final answer
    x = 11,729.88

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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.