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Finding the Fourth Proportional to 25,483.29, 38,239.11 and 9,698.82

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Solution

The fourth proportional to 25,483.29, 38,239.11 and 9,698.82 is: 14,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,483.29 : 38,239.11 = 9,698.82 : x
  2. Step 2: Convert to fraction form
    25,483.29/38,239.11 = 9,698.82/x
  3. Step 3: Cross multiply
    25,483.29x = 38,239.11 × 9,698.82
  4. Step 4: Simplify right side
    25,483.29x = 370,874,244.85
  5. Step 5: Solve for x
    x = 370,874,244.85/25,483.29
  6. Step 6: Final answer
    x = 14,553.62

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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.