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Finding the Fourth Proportional to 19,664.88, 29,490.92 and 7,350

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Solution

The fourth proportional to 19,664.88, 29,490.92 and 7,350 is: 11,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664.88 : 29,490.92 = 7,350 : x
  2. Step 2: Convert to fraction form
    19,664.88/29,490.92 = 7,350/x
  3. Step 3: Cross multiply
    19,664.88x = 29,490.92 × 7,350
  4. Step 4: Simplify right side
    19,664.88x = 216,758,262
  5. Step 5: Solve for x
    x = 216,758,262/19,664.88
  6. Step 6: Final answer
    x = 11,022.61

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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.