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Finding the Fourth Proportional to 19,782.09, 29,673.07 and 4,991.13

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Solution

The fourth proportional to 19,782.09, 29,673.07 and 4,991.13 is: 7,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.09 : 29,673.07 = 4,991.13 : x
  2. Step 2: Convert to fraction form
    19,782.09/29,673.07 = 4,991.13/x
  3. Step 3: Cross multiply
    19,782.09x = 29,673.07 × 4,991.13
  4. Step 4: Simplify right side
    19,782.09x = 148,102,137.39
  5. Step 5: Solve for x
    x = 148,102,137.39/19,782.09
  6. Step 6: Final answer
    x = 7,486.68

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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.