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Finding the Fourth Proportional to 13,506.78, 20,263.41 and 5,186.87

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Solution

The fourth proportional to 13,506.78, 20,263.41 and 5,186.87 is: 7,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.78 : 20,263.41 = 5,186.87 : x
  2. Step 2: Convert to fraction form
    13,506.78/20,263.41 = 5,186.87/x
  3. Step 3: Cross multiply
    13,506.78x = 20,263.41 × 5,186.87
  4. Step 4: Simplify right side
    13,506.78x = 105,103,572.11
  5. Step 5: Solve for x
    x = 105,103,572.11/13,506.78
  6. Step 6: Final answer
    x = 7,781.54

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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.