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Finding the Fourth Proportional to 14,361.77, 19,821.03 and 8,074.15

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Solution

The fourth proportional to 14,361.77, 19,821.03 and 8,074.15 is: 11,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.77 : 19,821.03 = 8,074.15 : x
  2. Step 2: Convert to fraction form
    14,361.77/19,821.03 = 8,074.15/x
  3. Step 3: Cross multiply
    14,361.77x = 19,821.03 × 8,074.15
  4. Step 4: Simplify right side
    14,361.77x = 160,037,889.54
  5. Step 5: Solve for x
    x = 160,037,889.54/14,361.77
  6. Step 6: Final answer
    x = 11,143.32

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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.