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Finding the Fourth Proportional to 14,742.42, 20,343.86 and 8,028.02

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Solution

The fourth proportional to 14,742.42, 20,343.86 and 8,028.02 is: 11,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.42 : 20,343.86 = 8,028.02 : x
  2. Step 2: Convert to fraction form
    14,742.42/20,343.86 = 8,028.02/x
  3. Step 3: Cross multiply
    14,742.42x = 20,343.86 × 8,028.02
  4. Step 4: Simplify right side
    14,742.42x = 163,320,914.96
  5. Step 5: Solve for x
    x = 163,320,914.96/14,742.42
  6. Step 6: Final answer
    x = 11,078.30

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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.