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Finding the Fourth Proportional to 22,504.69, 31,046.13 and 13,071.43

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Solution

The fourth proportional to 22,504.69, 31,046.13 and 13,071.43 is: 18,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.69 : 31,046.13 = 13,071.43 : x
  2. Step 2: Convert to fraction form
    22,504.69/31,046.13 = 13,071.43/x
  3. Step 3: Cross multiply
    22,504.69x = 31,046.13 × 13,071.43
  4. Step 4: Simplify right side
    22,504.69x = 405,817,315.07
  5. Step 5: Solve for x
    x = 405,817,315.07/22,504.69
  6. Step 6: Final answer
    x = 18,032.57

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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.