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Finding the Fourth Proportional to 12,225.25, 18,340.31 and 5,205.25

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Solution

The fourth proportional to 12,225.25, 18,340.31 and 5,205.25 is: 7,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.25 : 18,340.31 = 5,205.25 : x
  2. Step 2: Convert to fraction form
    12,225.25/18,340.31 = 5,205.25/x
  3. Step 3: Cross multiply
    12,225.25x = 18,340.31 × 5,205.25
  4. Step 4: Simplify right side
    12,225.25x = 95,465,898.63
  5. Step 5: Solve for x
    x = 95,465,898.63/12,225.25
  6. Step 6: Final answer
    x = 7,808.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.