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Finding the Fourth Proportional to 14,573.12, 20,110.96 and 7,949.12

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Solution

The fourth proportional to 14,573.12, 20,110.96 and 7,949.12 is: 10,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.12 : 20,110.96 = 7,949.12 : x
  2. Step 2: Convert to fraction form
    14,573.12/20,110.96 = 7,949.12/x
  3. Step 3: Cross multiply
    14,573.12x = 20,110.96 × 7,949.12
  4. Step 4: Simplify right side
    14,573.12x = 159,864,434.36
  5. Step 5: Solve for x
    x = 159,864,434.36/14,573.12
  6. Step 6: Final answer
    x = 10,969.82

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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.