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Finding the Fourth Proportional to 25,536.86, 38,295.81 and 8,892.62

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Solution

The fourth proportional to 25,536.86, 38,295.81 and 8,892.62 is: 13,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.86 : 38,295.81 = 8,892.62 : x
  2. Step 2: Convert to fraction form
    25,536.86/38,295.81 = 8,892.62/x
  3. Step 3: Cross multiply
    25,536.86x = 38,295.81 × 8,892.62
  4. Step 4: Simplify right side
    25,536.86x = 340,550,085.92
  5. Step 5: Solve for x
    x = 340,550,085.92/25,536.86
  6. Step 6: Final answer
    x = 13,335.63

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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.