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Finding the Fourth Proportional to 25,792.96, 38,697 and 10,807.24

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Solution

The fourth proportional to 25,792.96, 38,697 and 10,807.24 is: 16,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.96 : 38,697 = 10,807.24 : x
  2. Step 2: Convert to fraction form
    25,792.96/38,697 = 10,807.24/x
  3. Step 3: Cross multiply
    25,792.96x = 38,697 × 10,807.24
  4. Step 4: Simplify right side
    25,792.96x = 418,207,766.28
  5. Step 5: Solve for x
    x = 418,207,766.28/25,792.96
  6. Step 6: Final answer
    x = 16,214.03

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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.