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Finding the Fourth Proportional to 13,785.50, 19,024 and 8,196.50

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Solution

The fourth proportional to 13,785.50, 19,024 and 8,196.50 is: 11,311.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.50 : 19,024 = 8,196.50 : x
  2. Step 2: Convert to fraction form
    13,785.50/19,024 = 8,196.50/x
  3. Step 3: Cross multiply
    13,785.50x = 19,024 × 8,196.50
  4. Step 4: Simplify right side
    13,785.50x = 155,930,216
  5. Step 5: Solve for x
    x = 155,930,216/13,785.50
  6. Step 6: Final answer
    x = 11,311.18

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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.