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Finding the Fourth Proportional to 12,718.69, 17,551.79 and 7,412.48

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Solution

The fourth proportional to 12,718.69, 17,551.79 and 7,412.48 is: 10,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.69 : 17,551.79 = 7,412.48 : x
  2. Step 2: Convert to fraction form
    12,718.69/17,551.79 = 7,412.48/x
  3. Step 3: Cross multiply
    12,718.69x = 17,551.79 × 7,412.48
  4. Step 4: Simplify right side
    12,718.69x = 130,102,261.13
  5. Step 5: Solve for x
    x = 130,102,261.13/12,718.69
  6. Step 6: Final answer
    x = 10,229.22

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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.