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Finding the Fourth Proportional to 13,683.32, 20,525.18 and 9,033.11

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Solution

The fourth proportional to 13,683.32, 20,525.18 and 9,033.11 is: 13,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.32 : 20,525.18 = 9,033.11 : x
  2. Step 2: Convert to fraction form
    13,683.32/20,525.18 = 9,033.11/x
  3. Step 3: Cross multiply
    13,683.32x = 20,525.18 × 9,033.11
  4. Step 4: Simplify right side
    13,683.32x = 185,406,060.92
  5. Step 5: Solve for x
    x = 185,406,060.92/13,683.32
  6. Step 6: Final answer
    x = 13,549.79

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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.