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Finding the Fourth Proportional to 12,525.67, 17,287.32 and 7,148.08

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Solution

The fourth proportional to 12,525.67, 17,287.32 and 7,148.08 is: 9,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,525.67 : 17,287.32 = 7,148.08 : x
  2. Step 2: Convert to fraction form
    12,525.67/17,287.32 = 7,148.08/x
  3. Step 3: Cross multiply
    12,525.67x = 17,287.32 × 7,148.08
  4. Step 4: Simplify right side
    12,525.67x = 123,571,194.76
  5. Step 5: Solve for x
    x = 123,571,194.76/12,525.67
  6. Step 6: Final answer
    x = 9,865.43

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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.