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Finding the Fourth Proportional to 14,652, 20,219.76 and 8,364.54

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Solution

The fourth proportional to 14,652, 20,219.76 and 8,364.54 is: 11,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652 : 20,219.76 = 8,364.54 : x
  2. Step 2: Convert to fraction form
    14,652/20,219.76 = 8,364.54/x
  3. Step 3: Cross multiply
    14,652x = 20,219.76 × 8,364.54
  4. Step 4: Simplify right side
    14,652x = 169,128,991.31
  5. Step 5: Solve for x
    x = 169,128,991.31/14,652
  6. Step 6: Final answer
    x = 11,543.07

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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.