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Finding the Fourth Proportional to 14,819.91, 20,442.12 and 10,342.03

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Solution

The fourth proportional to 14,819.91, 20,442.12 and 10,342.03 is: 14,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.91 : 20,442.12 = 10,342.03 : x
  2. Step 2: Convert to fraction form
    14,819.91/20,442.12 = 10,342.03/x
  3. Step 3: Cross multiply
    14,819.91x = 20,442.12 × 10,342.03
  4. Step 4: Simplify right side
    14,819.91x = 211,412,916.09
  5. Step 5: Solve for x
    x = 211,412,916.09/14,819.91
  6. Step 6: Final answer
    x = 14,265.47

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1.5x scale

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.