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Finding the Fourth Proportional to 13,020.83, 19,538.13 and 7,101.98

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Solution

The fourth proportional to 13,020.83, 19,538.13 and 7,101.98 is: 10,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.83 : 19,538.13 = 7,101.98 : x
  2. Step 2: Convert to fraction form
    13,020.83/19,538.13 = 7,101.98/x
  3. Step 3: Cross multiply
    13,020.83x = 19,538.13 × 7,101.98
  4. Step 4: Simplify right side
    13,020.83x = 138,759,408.50
  5. Step 5: Solve for x
    x = 138,759,408.50/13,020.83
  6. Step 6: Final answer
    x = 10,656.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.