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Finding the Fourth Proportional to 12,506.64, 18,758.59 and 3,739.50

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Solution

The fourth proportional to 12,506.64, 18,758.59 and 3,739.50 is: 5,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.64 : 18,758.59 = 3,739.50 : x
  2. Step 2: Convert to fraction form
    12,506.64/18,758.59 = 3,739.50/x
  3. Step 3: Cross multiply
    12,506.64x = 18,758.59 × 3,739.50
  4. Step 4: Simplify right side
    12,506.64x = 70,147,737.96
  5. Step 5: Solve for x
    x = 70,147,737.96/12,506.64
  6. Step 6: Final answer
    x = 5,608.84

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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.