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Finding the Fourth Proportional to 16,129.20, 22,256.76 and 9,054

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Solution

The fourth proportional to 16,129.20, 22,256.76 and 9,054 is: 12,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.20 : 22,256.76 = 9,054 : x
  2. Step 2: Convert to fraction form
    16,129.20/22,256.76 = 9,054/x
  3. Step 3: Cross multiply
    16,129.20x = 22,256.76 × 9,054
  4. Step 4: Simplify right side
    16,129.20x = 201,512,705.04
  5. Step 5: Solve for x
    x = 201,512,705.04/16,129.20
  6. Step 6: Final answer
    x = 12,493.66

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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.