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Finding the Fourth Proportional to 19,772.64, 29,643.12 and 9,906.84

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Solution

The fourth proportional to 19,772.64, 29,643.12 and 9,906.84 is: 14,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.64 : 29,643.12 = 9,906.84 : x
  2. Step 2: Convert to fraction form
    19,772.64/29,643.12 = 9,906.84/x
  3. Step 3: Cross multiply
    19,772.64x = 29,643.12 × 9,906.84
  4. Step 4: Simplify right side
    19,772.64x = 293,669,646.94
  5. Step 5: Solve for x
    x = 293,669,646.94/19,772.64
  6. Step 6: Final answer
    x = 14,852.32

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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.