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Finding the Fourth Proportional to 13,684.48, 18,886.49 and 8,309.59

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Solution

The fourth proportional to 13,684.48, 18,886.49 and 8,309.59 is: 11,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.48 : 18,886.49 = 8,309.59 : x
  2. Step 2: Convert to fraction form
    13,684.48/18,886.49 = 8,309.59/x
  3. Step 3: Cross multiply
    13,684.48x = 18,886.49 × 8,309.59
  4. Step 4: Simplify right side
    13,684.48x = 156,938,988.44
  5. Step 5: Solve for x
    x = 156,938,988.44/13,684.48
  6. Step 6: Final answer
    x = 11,468.39

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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.