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Finding the Fourth Proportional to 20,051.97, 30,054.69 and 7,563.99

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Solution

The fourth proportional to 20,051.97, 30,054.69 and 7,563.99 is: 11,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.97 : 30,054.69 = 7,563.99 : x
  2. Step 2: Convert to fraction form
    20,051.97/30,054.69 = 7,563.99/x
  3. Step 3: Cross multiply
    20,051.97x = 30,054.69 × 7,563.99
  4. Step 4: Simplify right side
    20,051.97x = 227,333,374.61
  5. Step 5: Solve for x
    x = 227,333,374.61/20,051.97
  6. Step 6: Final answer
    x = 11,337.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.