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Finding the Fourth Proportional to 20,790.64, 31,199.64 and 7,643.16

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Solution

The fourth proportional to 20,790.64, 31,199.64 and 7,643.16 is: 11,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,790.64 : 31,199.64 = 7,643.16 : x
  2. Step 2: Convert to fraction form
    20,790.64/31,199.64 = 7,643.16/x
  3. Step 3: Cross multiply
    20,790.64x = 31,199.64 × 7,643.16
  4. Step 4: Simplify right side
    20,790.64x = 238,463,840.46
  5. Step 5: Solve for x
    x = 238,463,840.46/20,790.64
  6. Step 6: Final answer
    x = 11,469.77

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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.