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Finding the Fourth Proportional to 13,000.28, 19,502.84 and 5,209.70

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Solution

The fourth proportional to 13,000.28, 19,502.84 and 5,209.70 is: 7,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.28 : 19,502.84 = 5,209.70 : x
  2. Step 2: Convert to fraction form
    13,000.28/19,502.84 = 5,209.70/x
  3. Step 3: Cross multiply
    13,000.28x = 19,502.84 × 5,209.70
  4. Step 4: Simplify right side
    13,000.28x = 101,603,821.99
  5. Step 5: Solve for x
    x = 101,603,821.99/13,000.28
  6. Step 6: Final answer
    x = 7,815.51

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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.