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Finding the Fourth Proportional to 13,000.09, 19,500.17 and 3,139.37

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Solution

The fourth proportional to 13,000.09, 19,500.17 and 3,139.37 is: 4,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.09 : 19,500.17 = 3,139.37 : x
  2. Step 2: Convert to fraction form
    13,000.09/19,500.17 = 3,139.37/x
  3. Step 3: Cross multiply
    13,000.09x = 19,500.17 × 3,139.37
  4. Step 4: Simplify right side
    13,000.09x = 61,218,248.69
  5. Step 5: Solve for x
    x = 61,218,248.69/13,000.09
  6. Step 6: Final answer
    x = 4,709.06

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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.