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Finding the Fourth Proportional to 14,486.50, 19,993.80 and 8,197.66

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Solution

The fourth proportional to 14,486.50, 19,993.80 and 8,197.66 is: 11,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.50 : 19,993.80 = 8,197.66 : x
  2. Step 2: Convert to fraction form
    14,486.50/19,993.80 = 8,197.66/x
  3. Step 3: Cross multiply
    14,486.50x = 19,993.80 × 8,197.66
  4. Step 4: Simplify right side
    14,486.50x = 163,902,374.51
  5. Step 5: Solve for x
    x = 163,902,374.51/14,486.50
  6. Step 6: Final answer
    x = 11,314.15

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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.