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Finding the Fourth Proportional to 13,494.09, 18,622.14 and 8,188.32

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Solution

The fourth proportional to 13,494.09, 18,622.14 and 8,188.32 is: 11,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.09 : 18,622.14 = 8,188.32 : x
  2. Step 2: Convert to fraction form
    13,494.09/18,622.14 = 8,188.32/x
  3. Step 3: Cross multiply
    13,494.09x = 18,622.14 × 8,188.32
  4. Step 4: Simplify right side
    13,494.09x = 152,484,041.40
  5. Step 5: Solve for x
    x = 152,484,041.40/13,494.09
  6. Step 6: Final answer
    x = 11,300.06

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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.