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Finding the Fourth Proportional to 16,705.25, 23,053.29 and 9,253.25

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Solution

The fourth proportional to 16,705.25, 23,053.29 and 9,253.25 is: 12,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.25 : 23,053.29 = 9,253.25 : x
  2. Step 2: Convert to fraction form
    16,705.25/23,053.29 = 9,253.25/x
  3. Step 3: Cross multiply
    16,705.25x = 23,053.29 × 9,253.25
  4. Step 4: Simplify right side
    16,705.25x = 213,317,855.69
  5. Step 5: Solve for x
    x = 213,317,855.69/16,705.25
  6. Step 6: Final answer
    x = 12,769.51

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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.