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Finding the Fourth Proportional to 16,116.85, 22,255.43 and 10,077.44

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Solution

The fourth proportional to 16,116.85, 22,255.43 and 10,077.44 is: 13,915.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.85 : 22,255.43 = 10,077.44 : x
  2. Step 2: Convert to fraction form
    16,116.85/22,255.43 = 10,077.44/x
  3. Step 3: Cross multiply
    16,116.85x = 22,255.43 × 10,077.44
  4. Step 4: Simplify right side
    16,116.85x = 224,277,746.46
  5. Step 5: Solve for x
    x = 224,277,746.46/16,116.85
  6. Step 6: Final answer
    x = 13,915.73

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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.