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Finding the Fourth Proportional to 12,722.12, 19,085.22 and 6,148.78

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Solution

The fourth proportional to 12,722.12, 19,085.22 and 6,148.78 is: 9,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.12 : 19,085.22 = 6,148.78 : x
  2. Step 2: Convert to fraction form
    12,722.12/19,085.22 = 6,148.78/x
  3. Step 3: Cross multiply
    12,722.12x = 19,085.22 × 6,148.78
  4. Step 4: Simplify right side
    12,722.12x = 117,350,819.03
  5. Step 5: Solve for x
    x = 117,350,819.03/12,722.12
  6. Step 6: Final answer
    x = 9,224.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.