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Finding the Fourth Proportional to 26,516.82, 36,592.50 and 14,580.27

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Solution

The fourth proportional to 26,516.82, 36,592.50 and 14,580.27 is: 20,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,516.82 : 36,592.50 = 14,580.27 : x
  2. Step 2: Convert to fraction form
    26,516.82/36,592.50 = 14,580.27/x
  3. Step 3: Cross multiply
    26,516.82x = 36,592.50 × 14,580.27
  4. Step 4: Simplify right side
    26,516.82x = 533,528,529.98
  5. Step 5: Solve for x
    x = 533,528,529.98/26,516.82
  6. Step 6: Final answer
    x = 20,120.38

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Why These Related Problems?

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