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Finding the Fourth Proportional to 25,604.96, 38,381.04 and 9,805.68

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Solution

The fourth proportional to 25,604.96, 38,381.04 and 9,805.68 is: 14,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,604.96 : 38,381.04 = 9,805.68 : x
  2. Step 2: Convert to fraction form
    25,604.96/38,381.04 = 9,805.68/x
  3. Step 3: Cross multiply
    25,604.96x = 38,381.04 × 9,805.68
  4. Step 4: Simplify right side
    25,604.96x = 376,352,196.31
  5. Step 5: Solve for x
    x = 376,352,196.31/25,604.96
  6. Step 6: Final answer
    x = 14,698.41

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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.