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Finding the Fourth Proportional to 19,494, 29,244.04 and 6,343.27

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Solution

The fourth proportional to 19,494, 29,244.04 and 6,343.27 is: 9,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494 : 29,244.04 = 6,343.27 : x
  2. Step 2: Convert to fraction form
    19,494/29,244.04 = 6,343.27/x
  3. Step 3: Cross multiply
    19,494x = 29,244.04 × 6,343.27
  4. Step 4: Simplify right side
    19,494x = 185,502,752.64
  5. Step 5: Solve for x
    x = 185,502,752.64/19,494
  6. Step 6: Final answer
    x = 9,515.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.