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Finding the Fourth Proportional to 19,976.96, 29,969.28 and 7,664

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Solution

The fourth proportional to 19,976.96, 29,969.28 and 7,664 is: 11,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976.96 : 29,969.28 = 7,664 : x
  2. Step 2: Convert to fraction form
    19,976.96/29,969.28 = 7,664/x
  3. Step 3: Cross multiply
    19,976.96x = 29,969.28 × 7,664
  4. Step 4: Simplify right side
    19,976.96x = 229,684,561.92
  5. Step 5: Solve for x
    x = 229,684,561.92/19,976.96
  6. Step 6: Final answer
    x = 11,497.47

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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.