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Finding the Fourth Proportional to 13,168.86, 18,185.16 and 8,461.35

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Solution

The fourth proportional to 13,168.86, 18,185.16 and 8,461.35 is: 11,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,168.86 : 18,185.16 = 8,461.35 : x
  2. Step 2: Convert to fraction form
    13,168.86/18,185.16 = 8,461.35/x
  3. Step 3: Cross multiply
    13,168.86x = 18,185.16 × 8,461.35
  4. Step 4: Simplify right side
    13,168.86x = 153,871,003.57
  5. Step 5: Solve for x
    x = 153,871,003.57/13,168.86
  6. Step 6: Final answer
    x = 11,684.46

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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.