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Finding the Fourth Proportional to 13,766.93, 18,992.16 and 8,459.81

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Solution

The fourth proportional to 13,766.93, 18,992.16 and 8,459.81 is: 11,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.93 : 18,992.16 = 8,459.81 : x
  2. Step 2: Convert to fraction form
    13,766.93/18,992.16 = 8,459.81/x
  3. Step 3: Cross multiply
    13,766.93x = 18,992.16 × 8,459.81
  4. Step 4: Simplify right side
    13,766.93x = 160,669,970.13
  5. Step 5: Solve for x
    x = 160,669,970.13/13,766.93
  6. Step 6: Final answer
    x = 11,670.72

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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.