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Finding the Fourth Proportional to 13,599.63, 18,768.17 and 8,498.23

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Solution

The fourth proportional to 13,599.63, 18,768.17 and 8,498.23 is: 11,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.63 : 18,768.17 = 8,498.23 : x
  2. Step 2: Convert to fraction form
    13,599.63/18,768.17 = 8,498.23/x
  3. Step 3: Cross multiply
    13,599.63x = 18,768.17 × 8,498.23
  4. Step 4: Simplify right side
    13,599.63x = 159,496,199.66
  5. Step 5: Solve for x
    x = 159,496,199.66/13,599.63
  6. Step 6: Final answer
    x = 11,727.98

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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.