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Finding the Fourth Proportional to 13,516.98, 20,267.76 and 5,191.80

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Solution

The fourth proportional to 13,516.98, 20,267.76 and 5,191.80 is: 7,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.98 : 20,267.76 = 5,191.80 : x
  2. Step 2: Convert to fraction form
    13,516.98/20,267.76 = 5,191.80/x
  3. Step 3: Cross multiply
    13,516.98x = 20,267.76 × 5,191.80
  4. Step 4: Simplify right side
    13,516.98x = 105,226,156.37
  5. Step 5: Solve for x
    x = 105,226,156.37/13,516.98
  6. Step 6: Final answer
    x = 7,784.74

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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.