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Finding the Fourth Proportional to 19,922.69, 29,877.06 and 5,878.99

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Solution

The fourth proportional to 19,922.69, 29,877.06 and 5,878.99 is: 8,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.69 : 29,877.06 = 5,878.99 : x
  2. Step 2: Convert to fraction form
    19,922.69/29,877.06 = 5,878.99/x
  3. Step 3: Cross multiply
    19,922.69x = 29,877.06 × 5,878.99
  4. Step 4: Simplify right side
    19,922.69x = 175,646,758.19
  5. Step 5: Solve for x
    x = 175,646,758.19/19,922.69
  6. Step 6: Final answer
    x = 8,816.42

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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.