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Finding the Fourth Proportional to 13,000.19, 19,502.70 and 5,209.61

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Solution

The fourth proportional to 13,000.19, 19,502.70 and 5,209.61 is: 7,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.19 : 19,502.70 = 5,209.61 : x
  2. Step 2: Convert to fraction form
    13,000.19/19,502.70 = 5,209.61/x
  3. Step 3: Cross multiply
    13,000.19x = 19,502.70 × 5,209.61
  4. Step 4: Simplify right side
    13,000.19x = 101,601,363.43
  5. Step 5: Solve for x
    x = 101,601,363.43/13,000.19
  6. Step 6: Final answer
    x = 7,815.38

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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.