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Finding the Fourth Proportional to 14,562.88, 20,091.06 and 8,188

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Solution

The fourth proportional to 14,562.88, 20,091.06 and 8,188 is: 11,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.88 : 20,091.06 = 8,188 : x
  2. Step 2: Convert to fraction form
    14,562.88/20,091.06 = 8,188/x
  3. Step 3: Cross multiply
    14,562.88x = 20,091.06 × 8,188
  4. Step 4: Simplify right side
    14,562.88x = 164,505,599.28
  5. Step 5: Solve for x
    x = 164,505,599.28/14,562.88
  6. Step 6: Final answer
    x = 11,296.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.