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Finding the Fourth Proportional to 13,019.83, 19,536.63 and 7,100.98

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Solution

The fourth proportional to 13,019.83, 19,536.63 and 7,100.98 is: 10,655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.83 : 19,536.63 = 7,100.98 : x
  2. Step 2: Convert to fraction form
    13,019.83/19,536.63 = 7,100.98/x
  3. Step 3: Cross multiply
    13,019.83x = 19,536.63 × 7,100.98
  4. Step 4: Simplify right side
    13,019.83x = 138,729,218.90
  5. Step 5: Solve for x
    x = 138,729,218.90/13,019.83
  6. Step 6: Final answer
    x = 10,655.23

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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.