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Finding the Fourth Proportional to 13,798.82, 20,703.22 and 8,527.66

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Solution

The fourth proportional to 13,798.82, 20,703.22 and 8,527.66 is: 12,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.82 : 20,703.22 = 8,527.66 : x
  2. Step 2: Convert to fraction form
    13,798.82/20,703.22 = 8,527.66/x
  3. Step 3: Cross multiply
    13,798.82x = 20,703.22 × 8,527.66
  4. Step 4: Simplify right side
    13,798.82x = 176,550,021.07
  5. Step 5: Solve for x
    x = 176,550,021.07/13,798.82
  6. Step 6: Final answer
    x = 12,794.57

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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.