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Finding the Fourth Proportional to 12,511.90, 17,272.67 and 7,205.69

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Solution

The fourth proportional to 12,511.90, 17,272.67 and 7,205.69 is: 9,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.90 : 17,272.67 = 7,205.69 : x
  2. Step 2: Convert to fraction form
    12,511.90/17,272.67 = 7,205.69/x
  3. Step 3: Cross multiply
    12,511.90x = 17,272.67 × 7,205.69
  4. Step 4: Simplify right side
    12,511.90x = 124,461,383.10
  5. Step 5: Solve for x
    x = 124,461,383.10/12,511.90
  6. Step 6: Final answer
    x = 9,947.44

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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.