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Finding the Fourth Proportional to 12,765.34, 19,155.50 and 5,369.23

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Solution

The fourth proportional to 12,765.34, 19,155.50 and 5,369.23 is: 8,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.34 : 19,155.50 = 5,369.23 : x
  2. Step 2: Convert to fraction form
    12,765.34/19,155.50 = 5,369.23/x
  3. Step 3: Cross multiply
    12,765.34x = 19,155.50 × 5,369.23
  4. Step 4: Simplify right side
    12,765.34x = 102,850,250.80
  5. Step 5: Solve for x
    x = 102,850,250.80/12,765.34
  6. Step 6: Final answer
    x = 8,056.99

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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.