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Finding the Fourth Proportional to 13,459.16, 20,163.26 and 7,597.96

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Solution

The fourth proportional to 13,459.16, 20,163.26 and 7,597.96 is: 11,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.16 : 20,163.26 = 7,597.96 : x
  2. Step 2: Convert to fraction form
    13,459.16/20,163.26 = 7,597.96/x
  3. Step 3: Cross multiply
    13,459.16x = 20,163.26 × 7,597.96
  4. Step 4: Simplify right side
    13,459.16x = 153,199,642.95
  5. Step 5: Solve for x
    x = 153,199,642.95/13,459.16
  6. Step 6: Final answer
    x = 11,382.56

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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.