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Finding the Fourth Proportional to 13,682.32, 20,520.54 and 4,323.06

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Solution

The fourth proportional to 13,682.32, 20,520.54 and 4,323.06 is: 6,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.32 : 20,520.54 = 4,323.06 : x
  2. Step 2: Convert to fraction form
    13,682.32/20,520.54 = 4,323.06/x
  3. Step 3: Cross multiply
    13,682.32x = 20,520.54 × 4,323.06
  4. Step 4: Simplify right side
    13,682.32x = 88,711,525.65
  5. Step 5: Solve for x
    x = 88,711,525.65/13,682.32
  6. Step 6: Final answer
    x = 6,483.66

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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.