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Finding the Fourth Proportional to 19,595.25, 29,398.95 and 5,744.25

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Solution

The fourth proportional to 19,595.25, 29,398.95 and 5,744.25 is: 8,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,595.25 : 29,398.95 = 5,744.25 : x
  2. Step 2: Convert to fraction form
    19,595.25/29,398.95 = 5,744.25/x
  3. Step 3: Cross multiply
    19,595.25x = 29,398.95 × 5,744.25
  4. Step 4: Simplify right side
    19,595.25x = 168,874,918.54
  5. Step 5: Solve for x
    x = 168,874,918.54/19,595.25
  6. Step 6: Final answer
    x = 8,618.16

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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.