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Finding the Fourth Proportional to 14,970.54, 20,659.49 and 8,256

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Solution

The fourth proportional to 14,970.54, 20,659.49 and 8,256 is: 11,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.54 : 20,659.49 = 8,256 : x
  2. Step 2: Convert to fraction form
    14,970.54/20,659.49 = 8,256/x
  3. Step 3: Cross multiply
    14,970.54x = 20,659.49 × 8,256
  4. Step 4: Simplify right side
    14,970.54x = 170,564,749.44
  5. Step 5: Solve for x
    x = 170,564,749.44/14,970.54
  6. Step 6: Final answer
    x = 11,393.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.