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Finding the Fourth Proportional to 22,899.49, 31,602.48 and 12,827.34

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Solution

The fourth proportional to 22,899.49, 31,602.48 and 12,827.34 is: 17,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899.49 : 31,602.48 = 12,827.34 : x
  2. Step 2: Convert to fraction form
    22,899.49/31,602.48 = 12,827.34/x
  3. Step 3: Cross multiply
    22,899.49x = 31,602.48 × 12,827.34
  4. Step 4: Simplify right side
    22,899.49x = 405,375,755.80
  5. Step 5: Solve for x
    x = 405,375,755.80/22,899.49
  6. Step 6: Final answer
    x = 17,702.39

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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.