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Finding the Fourth Proportional to 12,406.14, 18,627.71 and 12,184.74

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Solution

The fourth proportional to 12,406.14, 18,627.71 and 12,184.74 is: 18,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.14 : 18,627.71 = 12,184.74 : x
  2. Step 2: Convert to fraction form
    12,406.14/18,627.71 = 12,184.74/x
  3. Step 3: Cross multiply
    12,406.14x = 18,627.71 × 12,184.74
  4. Step 4: Simplify right side
    12,406.14x = 226,973,742.22
  5. Step 5: Solve for x
    x = 226,973,742.22/12,406.14
  6. Step 6: Final answer
    x = 18,295.27

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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.