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Finding the Fourth Proportional to 14,513.09, 20,028.06 and 8,225.46

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Solution

The fourth proportional to 14,513.09, 20,028.06 and 8,225.46 is: 11,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.09 : 20,028.06 = 8,225.46 : x
  2. Step 2: Convert to fraction form
    14,513.09/20,028.06 = 8,225.46/x
  3. Step 3: Cross multiply
    14,513.09x = 20,028.06 × 8,225.46
  4. Step 4: Simplify right side
    14,513.09x = 164,740,006.41
  5. Step 5: Solve for x
    x = 164,740,006.41/14,513.09
  6. Step 6: Final answer
    x = 11,351.14

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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.