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Finding the Fourth Proportional to 12,505.97, 17,262.58 and 7,202.90

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Solution

The fourth proportional to 12,505.97, 17,262.58 and 7,202.90 is: 9,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.97 : 17,262.58 = 7,202.90 : x
  2. Step 2: Convert to fraction form
    12,505.97/17,262.58 = 7,202.90/x
  3. Step 3: Cross multiply
    12,505.97x = 17,262.58 × 7,202.90
  4. Step 4: Simplify right side
    12,505.97x = 124,340,637.48
  5. Step 5: Solve for x
    x = 124,340,637.48/12,505.97
  6. Step 6: Final answer
    x = 9,942.50

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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.