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Finding the Fourth Proportional to 14,946, 20,626.12 and 8,322

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Solution

The fourth proportional to 14,946, 20,626.12 and 8,322 is: 11,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946 : 20,626.12 = 8,322 : x
  2. Step 2: Convert to fraction form
    14,946/20,626.12 = 8,322/x
  3. Step 3: Cross multiply
    14,946x = 20,626.12 × 8,322
  4. Step 4: Simplify right side
    14,946x = 171,650,570.64
  5. Step 5: Solve for x
    x = 171,650,570.64/14,946
  6. Step 6: Final answer
    x = 11,484.72

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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.