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Finding the Fourth Proportional to 12,170.25, 18,242.28 and 5,148.63

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Solution

The fourth proportional to 12,170.25, 18,242.28 and 5,148.63 is: 7,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.25 : 18,242.28 = 5,148.63 : x
  2. Step 2: Convert to fraction form
    12,170.25/18,242.28 = 5,148.63/x
  3. Step 3: Cross multiply
    12,170.25x = 18,242.28 × 5,148.63
  4. Step 4: Simplify right side
    12,170.25x = 93,922,750.08
  5. Step 5: Solve for x
    x = 93,922,750.08/12,170.25
  6. Step 6: Final answer
    x = 7,717.41

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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.