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Finding the Fourth Proportional to 22,580.16, 31,160.23 and 12,508.39

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Solution

The fourth proportional to 22,580.16, 31,160.23 and 12,508.39 is: 17,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.16 : 31,160.23 = 12,508.39 : x
  2. Step 2: Convert to fraction form
    22,580.16/31,160.23 = 12,508.39/x
  3. Step 3: Cross multiply
    22,580.16x = 31,160.23 × 12,508.39
  4. Step 4: Simplify right side
    22,580.16x = 389,764,309.33
  5. Step 5: Solve for x
    x = 389,764,309.33/22,580.16
  6. Step 6: Final answer
    x = 17,261.36

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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.