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Finding the Fourth Proportional to 14,615.94, 20,161.97 and 8,646.46

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Solution

The fourth proportional to 14,615.94, 20,161.97 and 8,646.46 is: 11,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.94 : 20,161.97 = 8,646.46 : x
  2. Step 2: Convert to fraction form
    14,615.94/20,161.97 = 8,646.46/x
  3. Step 3: Cross multiply
    14,615.94x = 20,161.97 × 8,646.46
  4. Step 4: Simplify right side
    14,615.94x = 174,329,573.49
  5. Step 5: Solve for x
    x = 174,329,573.49/14,615.94
  6. Step 6: Final answer
    x = 11,927.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.