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Finding the Fourth Proportional to 12,743.25, 17,586.59 and 7,154.25

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Solution

The fourth proportional to 12,743.25, 17,586.59 and 7,154.25 is: 9,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.25 : 17,586.59 = 7,154.25 : x
  2. Step 2: Convert to fraction form
    12,743.25/17,586.59 = 7,154.25/x
  3. Step 3: Cross multiply
    12,743.25x = 17,586.59 × 7,154.25
  4. Step 4: Simplify right side
    12,743.25x = 125,818,825.74
  5. Step 5: Solve for x
    x = 125,818,825.74/12,743.25
  6. Step 6: Final answer
    x = 9,873.37

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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.