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Finding the Fourth Proportional to 35,984.86, 53,964.33 and 15,209.98

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Solution

The fourth proportional to 35,984.86, 53,964.33 and 15,209.98 is: 22,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984.86 : 53,964.33 = 15,209.98 : x
  2. Step 2: Convert to fraction form
    35,984.86/53,964.33 = 15,209.98/x
  3. Step 3: Cross multiply
    35,984.86x = 53,964.33 × 15,209.98
  4. Step 4: Simplify right side
    35,984.86x = 820,796,380.01
  5. Step 5: Solve for x
    x = 820,796,380.01/35,984.86
  6. Step 6: Final answer
    x = 22,809.49

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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.