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Finding the Fourth Proportional to 27,672.19, 41,512.33 and 8,946

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Solution

The fourth proportional to 27,672.19, 41,512.33 and 8,946 is: 13,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.19 : 41,512.33 = 8,946 : x
  2. Step 2: Convert to fraction form
    27,672.19/41,512.33 = 8,946/x
  3. Step 3: Cross multiply
    27,672.19x = 41,512.33 × 8,946
  4. Step 4: Simplify right side
    27,672.19x = 371,369,315.36
  5. Step 5: Solve for x
    x = 371,369,315.36/27,672.19
  6. Step 6: Final answer
    x = 13,420.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.