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Finding the Fourth Proportional to 14,946, 20,625.48 and 8,662.02

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Solution

The fourth proportional to 14,946, 20,625.48 and 8,662.02 is: 11,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946 : 20,625.48 = 8,662.02 : x
  2. Step 2: Convert to fraction form
    14,946/20,625.48 = 8,662.02/x
  3. Step 3: Cross multiply
    14,946x = 20,625.48 × 8,662.02
  4. Step 4: Simplify right side
    14,946x = 178,658,320.27
  5. Step 5: Solve for x
    x = 178,658,320.27/14,946
  6. Step 6: Final answer
    x = 11,953.59

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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.