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Finding the Fourth Proportional to 12,594.51, 18,890.46 and 3,829.50

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Solution

The fourth proportional to 12,594.51, 18,890.46 and 3,829.50 is: 5,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.51 : 18,890.46 = 3,829.50 : x
  2. Step 2: Convert to fraction form
    12,594.51/18,890.46 = 3,829.50/x
  3. Step 3: Cross multiply
    12,594.51x = 18,890.46 × 3,829.50
  4. Step 4: Simplify right side
    12,594.51x = 72,341,016.57
  5. Step 5: Solve for x
    x = 72,341,016.57/12,594.51
  6. Step 6: Final answer
    x = 5,743.85

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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.