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Finding the Fourth Proportional to 20,419.56, 30,622.85 and 6,565.32

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Solution

The fourth proportional to 20,419.56, 30,622.85 and 6,565.32 is: 9,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.56 : 30,622.85 = 6,565.32 : x
  2. Step 2: Convert to fraction form
    20,419.56/30,622.85 = 6,565.32/x
  3. Step 3: Cross multiply
    20,419.56x = 30,622.85 × 6,565.32
  4. Step 4: Simplify right side
    20,419.56x = 201,048,776.74
  5. Step 5: Solve for x
    x = 201,048,776.74/20,419.56
  6. Step 6: Final answer
    x = 9,845.89

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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.