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Finding the Fourth Proportional to 22,992.81, 31,730.29 and 13,918.38

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Solution

The fourth proportional to 22,992.81, 31,730.29 and 13,918.38 is: 19,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.81 : 31,730.29 = 13,918.38 : x
  2. Step 2: Convert to fraction form
    22,992.81/31,730.29 = 13,918.38/x
  3. Step 3: Cross multiply
    22,992.81x = 31,730.29 × 13,918.38
  4. Step 4: Simplify right side
    22,992.81x = 441,634,164.14
  5. Step 5: Solve for x
    x = 441,634,164.14/22,992.81
  6. Step 6: Final answer
    x = 19,207.49

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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.