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Finding the Fourth Proportional to 19,105.89, 28,674.63 and 9,752.82

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Solution

The fourth proportional to 19,105.89, 28,674.63 and 9,752.82 is: 14,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,105.89 : 28,674.63 = 9,752.82 : x
  2. Step 2: Convert to fraction form
    19,105.89/28,674.63 = 9,752.82/x
  3. Step 3: Cross multiply
    19,105.89x = 28,674.63 × 9,752.82
  4. Step 4: Simplify right side
    19,105.89x = 279,658,504.96
  5. Step 5: Solve for x
    x = 279,658,504.96/19,105.89
  6. Step 6: Final answer
    x = 14,637.29

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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.