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Finding the Fourth Proportional to 15,313.82, 22,968.02 and 4,217.82

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Solution

The fourth proportional to 15,313.82, 22,968.02 and 4,217.82 is: 6,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,313.82 : 22,968.02 = 4,217.82 : x
  2. Step 2: Convert to fraction form
    15,313.82/22,968.02 = 4,217.82/x
  3. Step 3: Cross multiply
    15,313.82x = 22,968.02 × 4,217.82
  4. Step 4: Simplify right side
    15,313.82x = 96,874,974.12
  5. Step 5: Solve for x
    x = 96,874,974.12/15,313.82
  6. Step 6: Final answer
    x = 6,325.98

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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.