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Finding the Fourth Proportional to 15,313.29, 22,970.72 and 4,219.73

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Solution

The fourth proportional to 15,313.29, 22,970.72 and 4,219.73 is: 6,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,313.29 : 22,970.72 = 4,219.73 : x
  2. Step 2: Convert to fraction form
    15,313.29/22,970.72 = 4,219.73/x
  3. Step 3: Cross multiply
    15,313.29x = 22,970.72 × 4,219.73
  4. Step 4: Simplify right side
    15,313.29x = 96,930,237.48
  5. Step 5: Solve for x
    x = 96,930,237.48/15,313.29
  6. Step 6: Final answer
    x = 6,329.81

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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.