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Finding the Fourth Proportional to 27,806.40, 41,709.60 and 12,254.40

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Solution

The fourth proportional to 27,806.40, 41,709.60 and 12,254.40 is: 18,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.40 : 41,709.60 = 12,254.40 : x
  2. Step 2: Convert to fraction form
    27,806.40/41,709.60 = 12,254.40/x
  3. Step 3: Cross multiply
    27,806.40x = 41,709.60 × 12,254.40
  4. Step 4: Simplify right side
    27,806.40x = 511,126,122.24
  5. Step 5: Solve for x
    x = 511,126,122.24/27,806.40
  6. Step 6: Final answer
    x = 18,381.60

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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.