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Finding the Fourth Proportional to 13,688.69, 18,893.33 and 8,649.71

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Solution

The fourth proportional to 13,688.69, 18,893.33 and 8,649.71 is: 11,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.69 : 18,893.33 = 8,649.71 : x
  2. Step 2: Convert to fraction form
    13,688.69/18,893.33 = 8,649.71/x
  3. Step 3: Cross multiply
    13,688.69x = 18,893.33 × 8,649.71
  4. Step 4: Simplify right side
    13,688.69x = 163,421,825.43
  5. Step 5: Solve for x
    x = 163,421,825.43/13,688.69
  6. Step 6: Final answer
    x = 11,938.46

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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.