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Finding the Fourth Proportional to 12,568.23, 17,346.69 and 7,262.33

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Solution

The fourth proportional to 12,568.23, 17,346.69 and 7,262.33 is: 10,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.23 : 17,346.69 = 7,262.33 : x
  2. Step 2: Convert to fraction form
    12,568.23/17,346.69 = 7,262.33/x
  3. Step 3: Cross multiply
    12,568.23x = 17,346.69 × 7,262.33
  4. Step 4: Simplify right side
    12,568.23x = 125,977,300.45
  5. Step 5: Solve for x
    x = 125,977,300.45/12,568.23
  6. Step 6: Final answer
    x = 10,023.47

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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.