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Finding the Fourth Proportional to 35,666.38, 53,470.40 and 13,467.14

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Solution

The fourth proportional to 35,666.38, 53,470.40 and 13,467.14 is: 20,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,666.38 : 53,470.40 = 13,467.14 : x
  2. Step 2: Convert to fraction form
    35,666.38/53,470.40 = 13,467.14/x
  3. Step 3: Cross multiply
    35,666.38x = 53,470.40 × 13,467.14
  4. Step 4: Simplify right side
    35,666.38x = 720,093,362.66
  5. Step 5: Solve for x
    x = 720,093,362.66/35,666.38
  6. Step 6: Final answer
    x = 20,189.70

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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.