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Finding the Fourth Proportional to 12,564.44, 17,341.06 and 7,262.33

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Solution

The fourth proportional to 12,564.44, 17,341.06 and 7,262.33 is: 10,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.44 : 17,341.06 = 7,262.33 : x
  2. Step 2: Convert to fraction form
    12,564.44/17,341.06 = 7,262.33/x
  3. Step 3: Cross multiply
    12,564.44x = 17,341.06 × 7,262.33
  4. Step 4: Simplify right side
    12,564.44x = 125,936,500.27
  5. Step 5: Solve for x
    x = 125,936,500.27/12,564.44
  6. Step 6: Final answer
    x = 10,023.25

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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.