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Finding the Fourth Proportional to 30,744.56, 42,420.21 and 17,313.14

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Solution

The fourth proportional to 30,744.56, 42,420.21 and 17,313.14 is: 23,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744.56 : 42,420.21 = 17,313.14 : x
  2. Step 2: Convert to fraction form
    30,744.56/42,420.21 = 17,313.14/x
  3. Step 3: Cross multiply
    30,744.56x = 42,420.21 × 17,313.14
  4. Step 4: Simplify right side
    30,744.56x = 734,427,075.69
  5. Step 5: Solve for x
    x = 734,427,075.69/30,744.56
  6. Step 6: Final answer
    x = 23,888.03

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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.