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Finding the Fourth Proportional to 13,645.17, 20,468.01 and 4,284.99

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Solution

The fourth proportional to 13,645.17, 20,468.01 and 4,284.99 is: 6,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.17 : 20,468.01 = 4,284.99 : x
  2. Step 2: Convert to fraction form
    13,645.17/20,468.01 = 4,284.99/x
  3. Step 3: Cross multiply
    13,645.17x = 20,468.01 × 4,284.99
  4. Step 4: Simplify right side
    13,645.17x = 87,705,218.17
  5. Step 5: Solve for x
    x = 87,705,218.17/13,645.17
  6. Step 6: Final answer
    x = 6,427.57

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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.