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Finding the Fourth Proportional to 25,398.24, 38,097.84 and 6,930.24

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Solution

The fourth proportional to 25,398.24, 38,097.84 and 6,930.24 is: 10,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,398.24 : 38,097.84 = 6,930.24 : x
  2. Step 2: Convert to fraction form
    25,398.24/38,097.84 = 6,930.24/x
  3. Step 3: Cross multiply
    25,398.24x = 38,097.84 × 6,930.24
  4. Step 4: Simplify right side
    25,398.24x = 264,027,174.68
  5. Step 5: Solve for x
    x = 264,027,174.68/25,398.24
  6. Step 6: Final answer
    x = 10,395.49

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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.