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Finding the Fourth Proportional to 14,263.36, 19,684.68 and 8,294.68

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Solution

The fourth proportional to 14,263.36, 19,684.68 and 8,294.68 is: 11,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.36 : 19,684.68 = 8,294.68 : x
  2. Step 2: Convert to fraction form
    14,263.36/19,684.68 = 8,294.68/x
  3. Step 3: Cross multiply
    14,263.36x = 19,684.68 × 8,294.68
  4. Step 4: Simplify right side
    14,263.36x = 163,278,121.50
  5. Step 5: Solve for x
    x = 163,278,121.50/14,263.36
  6. Step 6: Final answer
    x = 11,447.38

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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.