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Finding the Fourth Proportional to 14,200.26, 19,593.07 and 8,533.10

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Solution

The fourth proportional to 14,200.26, 19,593.07 and 8,533.10 is: 11,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.26 : 19,593.07 = 8,533.10 : x
  2. Step 2: Convert to fraction form
    14,200.26/19,593.07 = 8,533.10/x
  3. Step 3: Cross multiply
    14,200.26x = 19,593.07 × 8,533.10
  4. Step 4: Simplify right side
    14,200.26x = 167,189,625.62
  5. Step 5: Solve for x
    x = 167,189,625.62/14,200.26
  6. Step 6: Final answer
    x = 11,773.70

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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.