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Finding the Fourth Proportional to 14,873.84, 20,525.16 and 8,500.24

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Solution

The fourth proportional to 14,873.84, 20,525.16 and 8,500.24 is: 11,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,873.84 : 20,525.16 = 8,500.24 : x
  2. Step 2: Convert to fraction form
    14,873.84/20,525.16 = 8,500.24/x
  3. Step 3: Cross multiply
    14,873.84x = 20,525.16 × 8,500.24
  4. Step 4: Simplify right side
    14,873.84x = 174,468,786.04
  5. Step 5: Solve for x
    x = 174,468,786.04/14,873.84
  6. Step 6: Final answer
    x = 11,729.91

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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.