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Finding the Fourth Proportional to 12,923.64, 19,379.22 and 7,728.12

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Solution

The fourth proportional to 12,923.64, 19,379.22 and 7,728.12 is: 11,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.64 : 19,379.22 = 7,728.12 : x
  2. Step 2: Convert to fraction form
    12,923.64/19,379.22 = 7,728.12/x
  3. Step 3: Cross multiply
    12,923.64x = 19,379.22 × 7,728.12
  4. Step 4: Simplify right side
    12,923.64x = 149,764,937.67
  5. Step 5: Solve for x
    x = 149,764,937.67/12,923.64
  6. Step 6: Final answer
    x = 11,588.45

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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.