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Finding the Fourth Proportional to 13,819.82, 19,065.93 and 8,505.41

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Solution

The fourth proportional to 13,819.82, 19,065.93 and 8,505.41 is: 11,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.82 : 19,065.93 = 8,505.41 : x
  2. Step 2: Convert to fraction form
    13,819.82/19,065.93 = 8,505.41/x
  3. Step 3: Cross multiply
    13,819.82x = 19,065.93 × 8,505.41
  4. Step 4: Simplify right side
    13,819.82x = 162,163,472.30
  5. Step 5: Solve for x
    x = 162,163,472.30/13,819.82
  6. Step 6: Final answer
    x = 11,734.13

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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.