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Finding the Fourth Proportional to 26,478.50, 36,540.92 and 14,542.67

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Solution

The fourth proportional to 26,478.50, 36,540.92 and 14,542.67 is: 20,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478.50 : 36,540.92 = 14,542.67 : x
  2. Step 2: Convert to fraction form
    26,478.50/36,540.92 = 14,542.67/x
  3. Step 3: Cross multiply
    26,478.50x = 36,540.92 × 14,542.67
  4. Step 4: Simplify right side
    26,478.50x = 531,402,668.77
  5. Step 5: Solve for x
    x = 531,402,668.77/26,478.50
  6. Step 6: Final answer
    x = 20,069.22

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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.