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Finding the Fourth Proportional to 12,280.22, 16,948.75 and 7,245.68

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Solution

The fourth proportional to 12,280.22, 16,948.75 and 7,245.68 is: 10,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.22 : 16,948.75 = 7,245.68 : x
  2. Step 2: Convert to fraction form
    12,280.22/16,948.75 = 7,245.68/x
  3. Step 3: Cross multiply
    12,280.22x = 16,948.75 × 7,245.68
  4. Step 4: Simplify right side
    12,280.22x = 122,805,243.16
  5. Step 5: Solve for x
    x = 122,805,243.16/12,280.22
  6. Step 6: Final answer
    x = 10,000.25

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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.