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Finding the Fourth Proportional to 35,662.38, 53,464.40 and 13,463.14

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Solution

The fourth proportional to 35,662.38, 53,464.40 and 13,463.14 is: 20,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,662.38 : 53,464.40 = 13,463.14 : x
  2. Step 2: Convert to fraction form
    35,662.38/53,464.40 = 13,463.14/x
  3. Step 3: Cross multiply
    35,662.38x = 53,464.40 × 13,463.14
  4. Step 4: Simplify right side
    35,662.38x = 719,798,702.22
  5. Step 5: Solve for x
    x = 719,798,702.22/35,662.38
  6. Step 6: Final answer
    x = 20,183.70

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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.