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Finding the Fourth Proportional to 14,551.60, 20,083.72 and 8,263.84

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Solution

The fourth proportional to 14,551.60, 20,083.72 and 8,263.84 is: 11,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.60 : 20,083.72 = 8,263.84 : x
  2. Step 2: Convert to fraction form
    14,551.60/20,083.72 = 8,263.84/x
  3. Step 3: Cross multiply
    14,551.60x = 20,083.72 × 8,263.84
  4. Step 4: Simplify right side
    14,551.60x = 165,968,648.68
  5. Step 5: Solve for x
    x = 165,968,648.68/14,551.60
  6. Step 6: Final answer
    x = 11,405.53

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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.