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Finding the Fourth Proportional to 12,365.87, 17,055.36 and 8,588.97

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Solution

The fourth proportional to 12,365.87, 17,055.36 and 8,588.97 is: 11,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.87 : 17,055.36 = 8,588.97 : x
  2. Step 2: Convert to fraction form
    12,365.87/17,055.36 = 8,588.97/x
  3. Step 3: Cross multiply
    12,365.87x = 17,055.36 × 8,588.97
  4. Step 4: Simplify right side
    12,365.87x = 146,487,975.38
  5. Step 5: Solve for x
    x = 146,487,975.38/12,365.87
  6. Step 6: Final answer
    x = 11,846.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.