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Finding the Fourth Proportional to 13,896.48, 20,854.80 and 8,047.20

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Solution

The fourth proportional to 13,896.48, 20,854.80 and 8,047.20 is: 12,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.48 : 20,854.80 = 8,047.20 : x
  2. Step 2: Convert to fraction form
    13,896.48/20,854.80 = 8,047.20/x
  3. Step 3: Cross multiply
    13,896.48x = 20,854.80 × 8,047.20
  4. Step 4: Simplify right side
    13,896.48x = 167,822,746.56
  5. Step 5: Solve for x
    x = 167,822,746.56/13,896.48
  6. Step 6: Final answer
    x = 12,076.64

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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.