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Finding the Fourth Proportional to 19,947, 29,920.50 and 6,097.08

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Solution

The fourth proportional to 19,947, 29,920.50 and 6,097.08 is: 9,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,947 : 29,920.50 = 6,097.08 : x
  2. Step 2: Convert to fraction form
    19,947/29,920.50 = 6,097.08/x
  3. Step 3: Cross multiply
    19,947x = 29,920.50 × 6,097.08
  4. Step 4: Simplify right side
    19,947x = 182,427,682.14
  5. Step 5: Solve for x
    x = 182,427,682.14/19,947
  6. Step 6: Final answer
    x = 9,145.62

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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.