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Finding the Fourth Proportional to 12,334.34, 18,507.59 and 5,759.57

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Solution

The fourth proportional to 12,334.34, 18,507.59 and 5,759.57 is: 8,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.34 : 18,507.59 = 5,759.57 : x
  2. Step 2: Convert to fraction form
    12,334.34/18,507.59 = 5,759.57/x
  3. Step 3: Cross multiply
    12,334.34x = 18,507.59 × 5,759.57
  4. Step 4: Simplify right side
    12,334.34x = 106,595,760.14
  5. Step 5: Solve for x
    x = 106,595,760.14/12,334.34
  6. Step 6: Final answer
    x = 8,642.19

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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.