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Finding the Fourth Proportional to 35,665.38, 53,468.90 and 13,466.14

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Solution

The fourth proportional to 35,665.38, 53,468.90 and 13,466.14 is: 20,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,665.38 : 53,468.90 = 13,466.14 : x
  2. Step 2: Convert to fraction form
    35,665.38/53,468.90 = 13,466.14/x
  3. Step 3: Cross multiply
    35,665.38x = 53,468.90 × 13,466.14
  4. Step 4: Simplify right side
    35,665.38x = 720,019,693.05
  5. Step 5: Solve for x
    x = 720,019,693.05/35,665.38
  6. Step 6: Final answer
    x = 20,188.20

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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.