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Finding the Fourth Proportional to 28,378.42, 42,523.46 and 10,838.68

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Solution

The fourth proportional to 28,378.42, 42,523.46 and 10,838.68 is: 16,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,378.42 : 42,523.46 = 10,838.68 : x
  2. Step 2: Convert to fraction form
    28,378.42/42,523.46 = 10,838.68/x
  3. Step 3: Cross multiply
    28,378.42x = 42,523.46 × 10,838.68
  4. Step 4: Simplify right side
    28,378.42x = 460,898,175.43
  5. Step 5: Solve for x
    x = 460,898,175.43/28,378.42
  6. Step 6: Final answer
    x = 16,241.15

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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.