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Finding the Fourth Proportional to 13,263.50, 19,892.21 and 5,863.95

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Solution

The fourth proportional to 13,263.50, 19,892.21 and 5,863.95 is: 8,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,263.50 : 19,892.21 = 5,863.95 : x
  2. Step 2: Convert to fraction form
    13,263.50/19,892.21 = 5,863.95/x
  3. Step 3: Cross multiply
    13,263.50x = 19,892.21 × 5,863.95
  4. Step 4: Simplify right side
    13,263.50x = 116,646,895.51
  5. Step 5: Solve for x
    x = 116,646,895.51/13,263.50
  6. Step 6: Final answer
    x = 8,794.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.