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Finding the Fourth Proportional to 13,161.45, 19,745.84 and 7,322.16

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Solution

The fourth proportional to 13,161.45, 19,745.84 and 7,322.16 is: 10,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.45 : 19,745.84 = 7,322.16 : x
  2. Step 2: Convert to fraction form
    13,161.45/19,745.84 = 7,322.16/x
  3. Step 3: Cross multiply
    13,161.45x = 19,745.84 × 7,322.16
  4. Step 4: Simplify right side
    13,161.45x = 144,582,064.47
  5. Step 5: Solve for x
    x = 144,582,064.47/13,161.45
  6. Step 6: Final answer
    x = 10,985.27

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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.