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Finding the Fourth Proportional to 13,683.64, 20,492.88 and 8,737.96

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Solution

The fourth proportional to 13,683.64, 20,492.88 and 8,737.96 is: 13,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.64 : 20,492.88 = 8,737.96 : x
  2. Step 2: Convert to fraction form
    13,683.64/20,492.88 = 8,737.96/x
  3. Step 3: Cross multiply
    13,683.64x = 20,492.88 × 8,737.96
  4. Step 4: Simplify right side
    13,683.64x = 179,065,965.72
  5. Step 5: Solve for x
    x = 179,065,965.72/13,683.64
  6. Step 6: Final answer
    x = 13,086.14

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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.