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Finding the Fourth Proportional to 14,464.12, 20,077.53 and 14,114.20

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Solution

The fourth proportional to 14,464.12, 20,077.53 and 14,114.20 is: 19,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.12 : 20,077.53 = 14,114.20 : x
  2. Step 2: Convert to fraction form
    14,464.12/20,077.53 = 14,114.20/x
  3. Step 3: Cross multiply
    14,464.12x = 20,077.53 × 14,114.20
  4. Step 4: Simplify right side
    14,464.12x = 283,378,307.69
  5. Step 5: Solve for x
    x = 283,378,307.69/14,464.12
  6. Step 6: Final answer
    x = 19,591.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.