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Finding the Fourth Proportional to 13,464.14, 20,199.63 and 4,699.22

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Solution

The fourth proportional to 13,464.14, 20,199.63 and 4,699.22 is: 7,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.14 : 20,199.63 = 4,699.22 : x
  2. Step 2: Convert to fraction form
    13,464.14/20,199.63 = 4,699.22/x
  3. Step 3: Cross multiply
    13,464.14x = 20,199.63 × 4,699.22
  4. Step 4: Simplify right side
    13,464.14x = 94,922,505.29
  5. Step 5: Solve for x
    x = 94,922,505.29/13,464.14
  6. Step 6: Final answer
    x = 7,050.02

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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.