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Finding the Fourth Proportional to 19,771.74, 27,285.00 and 10,819.24

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Solution

The fourth proportional to 19,771.74, 27,285.00 and 10,819.24 is: 14,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.74 : 27,285.00 = 10,819.24 : x
  2. Step 2: Convert to fraction form
    19,771.74/27,285.00 = 10,819.24/x
  3. Step 3: Cross multiply
    19,771.74x = 27,285.00 × 10,819.24
  4. Step 4: Simplify right side
    19,771.74x = 295,203,068.95
  5. Step 5: Solve for x
    x = 295,203,068.95/19,771.74
  6. Step 6: Final answer
    x = 14,930.55

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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.