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Finding the Fourth Proportional to 12,740.25, 17,583.21 and 7,151.25

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Solution

The fourth proportional to 12,740.25, 17,583.21 and 7,151.25 is: 9,869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.25 : 17,583.21 = 7,151.25 : x
  2. Step 2: Convert to fraction form
    12,740.25/17,583.21 = 7,151.25/x
  3. Step 3: Cross multiply
    12,740.25x = 17,583.21 × 7,151.25
  4. Step 4: Simplify right side
    12,740.25x = 125,741,930.51
  5. Step 5: Solve for x
    x = 125,741,930.51/12,740.25
  6. Step 6: Final answer
    x = 9,869.66

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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.