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Finding the Fourth Proportional to 12,710.22, 17,539.47 and 7,120.14

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Solution

The fourth proportional to 12,710.22, 17,539.47 and 7,120.14 is: 9,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.22 : 17,539.47 = 7,120.14 : x
  2. Step 2: Convert to fraction form
    12,710.22/17,539.47 = 7,120.14/x
  3. Step 3: Cross multiply
    12,710.22x = 17,539.47 × 7,120.14
  4. Step 4: Simplify right side
    12,710.22x = 124,883,481.93
  5. Step 5: Solve for x
    x = 124,883,481.93/12,710.22
  6. Step 6: Final answer
    x = 9,825.44

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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.