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Finding the Fourth Proportional to 13,669.97, 18,853.76 and 8,953.34

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Solution

The fourth proportional to 13,669.97, 18,853.76 and 8,953.34 is: 12,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.97 : 18,853.76 = 8,953.34 : x
  2. Step 2: Convert to fraction form
    13,669.97/18,853.76 = 8,953.34/x
  3. Step 3: Cross multiply
    13,669.97x = 18,853.76 × 8,953.34
  4. Step 4: Simplify right side
    13,669.97x = 168,804,051.67
  5. Step 5: Solve for x
    x = 168,804,051.67/13,669.97
  6. Step 6: Final answer
    x = 12,348.54

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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.