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Finding the Fourth Proportional to 22,699.41, 31,328.09 and 13,747.29

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Solution

The fourth proportional to 22,699.41, 31,328.09 and 13,747.29 is: 18,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,699.41 : 31,328.09 = 13,747.29 : x
  2. Step 2: Convert to fraction form
    22,699.41/31,328.09 = 13,747.29/x
  3. Step 3: Cross multiply
    22,699.41x = 31,328.09 × 13,747.29
  4. Step 4: Simplify right side
    22,699.41x = 430,676,269.64
  5. Step 5: Solve for x
    x = 430,676,269.64/22,699.41
  6. Step 6: Final answer
    x = 18,973.02

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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.