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Finding the Fourth Proportional to 12,829.50, 19,245.33 and 3,595.50

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Solution

The fourth proportional to 12,829.50, 19,245.33 and 3,595.50 is: 5,393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.50 : 19,245.33 = 3,595.50 : x
  2. Step 2: Convert to fraction form
    12,829.50/19,245.33 = 3,595.50/x
  3. Step 3: Cross multiply
    12,829.50x = 19,245.33 × 3,595.50
  4. Step 4: Simplify right side
    12,829.50x = 69,196,584.02
  5. Step 5: Solve for x
    x = 69,196,584.02/12,829.50
  6. Step 6: Final answer
    x = 5,393.55

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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.