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Finding the Fourth Proportional to 19,946.50, 29,919.75 and 5,354.50

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Solution

The fourth proportional to 19,946.50, 29,919.75 and 5,354.50 is: 8,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,946.50 : 29,919.75 = 5,354.50 : x
  2. Step 2: Convert to fraction form
    19,946.50/29,919.75 = 5,354.50/x
  3. Step 3: Cross multiply
    19,946.50x = 29,919.75 × 5,354.50
  4. Step 4: Simplify right side
    19,946.50x = 160,205,301.38
  5. Step 5: Solve for x
    x = 160,205,301.38/19,946.50
  6. Step 6: Final answer
    x = 8,031.75

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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.