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Finding the Fourth Proportional to 12,766.30, 17,622.28 and 7,462.84

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Solution

The fourth proportional to 12,766.30, 17,622.28 and 7,462.84 is: 10,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.30 : 17,622.28 = 7,462.84 : x
  2. Step 2: Convert to fraction form
    12,766.30/17,622.28 = 7,462.84/x
  3. Step 3: Cross multiply
    12,766.30x = 17,622.28 × 7,462.84
  4. Step 4: Simplify right side
    12,766.30x = 131,512,256.08
  5. Step 5: Solve for x
    x = 131,512,256.08/12,766.30
  6. Step 6: Final answer
    x = 10,301.52

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