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Finding the Fourth Proportional to 19,815.59, 29,707.79 and 9,823.80

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Solution

The fourth proportional to 19,815.59, 29,707.79 and 9,823.80 is: 14,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,815.59 : 29,707.79 = 9,823.80 : x
  2. Step 2: Convert to fraction form
    19,815.59/29,707.79 = 9,823.80/x
  3. Step 3: Cross multiply
    19,815.59x = 29,707.79 × 9,823.80
  4. Step 4: Simplify right side
    19,815.59x = 291,843,310.21
  5. Step 5: Solve for x
    x = 291,843,310.21/19,815.59
  6. Step 6: Final answer
    x = 14,727.97

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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.