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Finding the Fourth Proportional to 22,349.02, 33,523.50 and 5,709.07

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Solution

The fourth proportional to 22,349.02, 33,523.50 and 5,709.07 is: 8,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.02 : 33,523.50 = 5,709.07 : x
  2. Step 2: Convert to fraction form
    22,349.02/33,523.50 = 5,709.07/x
  3. Step 3: Cross multiply
    22,349.02x = 33,523.50 × 5,709.07
  4. Step 4: Simplify right side
    22,349.02x = 191,388,008.15
  5. Step 5: Solve for x
    x = 191,388,008.15/22,349.02
  6. Step 6: Final answer
    x = 8,563.60

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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.