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Finding the Fourth Proportional to 12,205.20, 18,307.80 and 11,038.80

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Solution

The fourth proportional to 12,205.20, 18,307.80 and 11,038.80 is: 16,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.20 : 18,307.80 = 11,038.80 : x
  2. Step 2: Convert to fraction form
    12,205.20/18,307.80 = 11,038.80/x
  3. Step 3: Cross multiply
    12,205.20x = 18,307.80 × 11,038.80
  4. Step 4: Simplify right side
    12,205.20x = 202,096,142.64
  5. Step 5: Solve for x
    x = 202,096,142.64/12,205.20
  6. Step 6: Final answer
    x = 16,558.20

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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.