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Finding the Fourth Proportional to 26,191.96, 36,145.83 and 14,861.50

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Solution

The fourth proportional to 26,191.96, 36,145.83 and 14,861.50 is: 20,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,191.96 : 36,145.83 = 14,861.50 : x
  2. Step 2: Convert to fraction form
    26,191.96/36,145.83 = 14,861.50/x
  3. Step 3: Cross multiply
    26,191.96x = 36,145.83 × 14,861.50
  4. Step 4: Simplify right side
    26,191.96x = 537,181,252.55
  5. Step 5: Solve for x
    x = 537,181,252.55/26,191.96
  6. Step 6: Final answer
    x = 20,509.39

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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.