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Finding the Fourth Proportional to 28,178.70, 38,880.24 and 16,846.32

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Solution

The fourth proportional to 28,178.70, 38,880.24 and 16,846.32 is: 23,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,178.70 : 38,880.24 = 16,846.32 : x
  2. Step 2: Convert to fraction form
    28,178.70/38,880.24 = 16,846.32/x
  3. Step 3: Cross multiply
    28,178.70x = 38,880.24 × 16,846.32
  4. Step 4: Simplify right side
    28,178.70x = 654,988,964.72
  5. Step 5: Solve for x
    x = 654,988,964.72/28,178.70
  6. Step 6: Final answer
    x = 23,244.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.