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Finding the Fourth Proportional to 12,201.40, 18,323.70 and 8,918.20

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Solution

The fourth proportional to 12,201.40, 18,323.70 and 8,918.20 is: 13,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.40 : 18,323.70 = 8,918.20 : x
  2. Step 2: Convert to fraction form
    12,201.40/18,323.70 = 8,918.20/x
  3. Step 3: Cross multiply
    12,201.40x = 18,323.70 × 8,918.20
  4. Step 4: Simplify right side
    12,201.40x = 163,414,421.34
  5. Step 5: Solve for x
    x = 163,414,421.34/12,201.40
  6. Step 6: Final answer
    x = 13,393.09

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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.