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Finding the Fourth Proportional to 13,468.14, 20,211.44 and 4,703.02

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Solution

The fourth proportional to 13,468.14, 20,211.44 and 4,703.02 is: 7,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.14 : 20,211.44 = 4,703.02 : x
  2. Step 2: Convert to fraction form
    13,468.14/20,211.44 = 4,703.02/x
  3. Step 3: Cross multiply
    13,468.14x = 20,211.44 × 4,703.02
  4. Step 4: Simplify right side
    13,468.14x = 95,054,732.51
  5. Step 5: Solve for x
    x = 95,054,732.51/13,468.14
  6. Step 6: Final answer
    x = 7,057.75

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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.