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Finding the Fourth Proportional to 20,355.86, 30,533.81 and 5,564.90

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Solution

The fourth proportional to 20,355.86, 30,533.81 and 5,564.90 is: 8,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,355.86 : 30,533.81 = 5,564.90 : x
  2. Step 2: Convert to fraction form
    20,355.86/30,533.81 = 5,564.90/x
  3. Step 3: Cross multiply
    20,355.86x = 30,533.81 × 5,564.90
  4. Step 4: Simplify right side
    20,355.86x = 169,917,679.08
  5. Step 5: Solve for x
    x = 169,917,679.08/20,355.86
  6. Step 6: Final answer
    x = 8,347.36

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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.