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Finding the Fourth Proportional to 12,906.30, 19,359.45 and 12,824.40

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Solution

The fourth proportional to 12,906.30, 19,359.45 and 12,824.40 is: 19,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.30 : 19,359.45 = 12,824.40 : x
  2. Step 2: Convert to fraction form
    12,906.30/19,359.45 = 12,824.40/x
  3. Step 3: Cross multiply
    12,906.30x = 19,359.45 × 12,824.40
  4. Step 4: Simplify right side
    12,906.30x = 248,273,330.58
  5. Step 5: Solve for x
    x = 248,273,330.58/12,906.30
  6. Step 6: Final answer
    x = 19,236.60

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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.