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Finding the Fourth Proportional to 15,106.86, 20,847.33 and 8,392.50

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Solution

The fourth proportional to 15,106.86, 20,847.33 and 8,392.50 is: 11,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.86 : 20,847.33 = 8,392.50 : x
  2. Step 2: Convert to fraction form
    15,106.86/20,847.33 = 8,392.50/x
  3. Step 3: Cross multiply
    15,106.86x = 20,847.33 × 8,392.50
  4. Step 4: Simplify right side
    15,106.86x = 174,961,217.03
  5. Step 5: Solve for x
    x = 174,961,217.03/15,106.86
  6. Step 6: Final answer
    x = 11,581.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.