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Finding the Fourth Proportional to 14,520, 20,037.60 and 8,232.78

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Solution

The fourth proportional to 14,520, 20,037.60 and 8,232.78 is: 11,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520 : 20,037.60 = 8,232.78 : x
  2. Step 2: Convert to fraction form
    14,520/20,037.60 = 8,232.78/x
  3. Step 3: Cross multiply
    14,520x = 20,037.60 × 8,232.78
  4. Step 4: Simplify right side
    14,520x = 164,965,152.53
  5. Step 5: Solve for x
    x = 164,965,152.53/14,520
  6. Step 6: Final answer
    x = 11,361.24

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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.