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Finding the Fourth Proportional to 20,564.64, 30,842.10 and 9,464.40

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Solution

The fourth proportional to 20,564.64, 30,842.10 and 9,464.40 is: 14,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.64 : 30,842.10 = 9,464.40 : x
  2. Step 2: Convert to fraction form
    20,564.64/30,842.10 = 9,464.40/x
  3. Step 3: Cross multiply
    20,564.64x = 30,842.10 × 9,464.40
  4. Step 4: Simplify right side
    20,564.64x = 291,901,971.24
  5. Step 5: Solve for x
    x = 291,901,971.24/20,564.64
  6. Step 6: Final answer
    x = 14,194.36

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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.