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Finding the Fourth Proportional to 12,023.60, 18,023.16 and 8,128.40

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Solution

The fourth proportional to 12,023.60, 18,023.16 and 8,128.40 is: 12,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.60 : 18,023.16 = 8,128.40 : x
  2. Step 2: Convert to fraction form
    12,023.60/18,023.16 = 8,128.40/x
  3. Step 3: Cross multiply
    12,023.60x = 18,023.16 × 8,128.40
  4. Step 4: Simplify right side
    12,023.60x = 146,499,453.74
  5. Step 5: Solve for x
    x = 146,499,453.74/12,023.60
  6. Step 6: Final answer
    x = 12,184.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.