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Finding the Fourth Proportional to 19,814.36, 29,711.75 and 9,807.48

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Solution

The fourth proportional to 19,814.36, 29,711.75 and 9,807.48 is: 14,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.36 : 29,711.75 = 9,807.48 : x
  2. Step 2: Convert to fraction form
    19,814.36/29,711.75 = 9,807.48/x
  3. Step 3: Cross multiply
    19,814.36x = 29,711.75 × 9,807.48
  4. Step 4: Simplify right side
    19,814.36x = 291,397,344.85
  5. Step 5: Solve for x
    x = 291,397,344.85/19,814.36
  6. Step 6: Final answer
    x = 14,706.38

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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.