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Finding the Fourth Proportional to 13,583.35, 20,356.80 and 9,683.20

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Solution

The fourth proportional to 13,583.35, 20,356.80 and 9,683.20 is: 14,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.35 : 20,356.80 = 9,683.20 : x
  2. Step 2: Convert to fraction form
    13,583.35/20,356.80 = 9,683.20/x
  3. Step 3: Cross multiply
    13,583.35x = 20,356.80 × 9,683.20
  4. Step 4: Simplify right side
    13,583.35x = 197,118,965.76
  5. Step 5: Solve for x
    x = 197,118,965.76/13,583.35
  6. Step 6: Final answer
    x = 14,511.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.