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Finding the Fourth Proportional to 20,564.46, 30,805.56 and 9,455.94

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Solution

The fourth proportional to 20,564.46, 30,805.56 and 9,455.94 is: 14,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.46 : 30,805.56 = 9,455.94 : x
  2. Step 2: Convert to fraction form
    20,564.46/30,805.56 = 9,455.94/x
  3. Step 3: Cross multiply
    20,564.46x = 30,805.56 × 9,455.94
  4. Step 4: Simplify right side
    20,564.46x = 291,295,527.03
  5. Step 5: Solve for x
    x = 291,295,527.03/20,564.46
  6. Step 6: Final answer
    x = 14,165.00

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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.