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Finding the Fourth Proportional to 13,508.70, 18,642.06 and 8,199.96

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Solution

The fourth proportional to 13,508.70, 18,642.06 and 8,199.96 is: 11,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.70 : 18,642.06 = 8,199.96 : x
  2. Step 2: Convert to fraction form
    13,508.70/18,642.06 = 8,199.96/x
  3. Step 3: Cross multiply
    13,508.70x = 18,642.06 × 8,199.96
  4. Step 4: Simplify right side
    13,508.70x = 152,864,146.32
  5. Step 5: Solve for x
    x = 152,864,146.32/13,508.70
  6. Step 6: Final answer
    x = 11,315.98

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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.