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Finding the Fourth Proportional to 22,837.38, 31,513.05 and 12,901.38

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Solution

The fourth proportional to 22,837.38, 31,513.05 and 12,901.38 is: 17,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,837.38 : 31,513.05 = 12,901.38 : x
  2. Step 2: Convert to fraction form
    22,837.38/31,513.05 = 12,901.38/x
  3. Step 3: Cross multiply
    22,837.38x = 31,513.05 × 12,901.38
  4. Step 4: Simplify right side
    22,837.38x = 406,561,833.01
  5. Step 5: Solve for x
    x = 406,561,833.01/22,837.38
  6. Step 6: Final answer
    x = 17,802.47

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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.