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Finding the Fourth Proportional to 35,667.38, 53,471.88 and 13,468.16

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Solution

The fourth proportional to 35,667.38, 53,471.88 and 13,468.16 is: 20,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,667.38 : 53,471.88 = 13,468.16 : x
  2. Step 2: Convert to fraction form
    35,667.38/53,471.88 = 13,468.16/x
  3. Step 3: Cross multiply
    35,667.38x = 53,471.88 × 13,468.16
  4. Step 4: Simplify right side
    35,667.38x = 720,167,835.34
  5. Step 5: Solve for x
    x = 720,167,835.34/35,667.38
  6. Step 6: Final answer
    x = 20,191.22

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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.