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Finding the Fourth Proportional to 25,578.17, 38,369.90 and 9,783.09

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Solution

The fourth proportional to 25,578.17, 38,369.90 and 9,783.09 is: 14,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578.17 : 38,369.90 = 9,783.09 : x
  2. Step 2: Convert to fraction form
    25,578.17/38,369.90 = 9,783.09/x
  3. Step 3: Cross multiply
    25,578.17x = 38,369.90 × 9,783.09
  4. Step 4: Simplify right side
    25,578.17x = 375,376,136.08
  5. Step 5: Solve for x
    x = 375,376,136.08/25,578.17
  6. Step 6: Final answer
    x = 14,675.65

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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.