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Finding the Fourth Proportional to 22,469.74, 31,005.74 and 13,036.48

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Solution

The fourth proportional to 22,469.74, 31,005.74 and 13,036.48 is: 17,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.74 : 31,005.74 = 13,036.48 : x
  2. Step 2: Convert to fraction form
    22,469.74/31,005.74 = 13,036.48/x
  3. Step 3: Cross multiply
    22,469.74x = 31,005.74 × 13,036.48
  4. Step 4: Simplify right side
    22,469.74x = 404,205,709.40
  5. Step 5: Solve for x
    x = 404,205,709.40/22,469.74
  6. Step 6: Final answer
    x = 17,988.89

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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.