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Finding the Fourth Proportional to 30,219.24, 45,313.24 and 13,564.96

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Solution

The fourth proportional to 30,219.24, 45,313.24 and 13,564.96 is: 20,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.24 : 45,313.24 = 13,564.96 : x
  2. Step 2: Convert to fraction form
    30,219.24/45,313.24 = 13,564.96/x
  3. Step 3: Cross multiply
    30,219.24x = 45,313.24 × 13,564.96
  4. Step 4: Simplify right side
    30,219.24x = 614,672,288.07
  5. Step 5: Solve for x
    x = 614,672,288.07/30,219.24
  6. Step 6: Final answer
    x = 20,340.43

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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.