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Finding the Fourth Proportional to 12,321.12, 17,002.96 and 7,352.16

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Solution

The fourth proportional to 12,321.12, 17,002.96 and 7,352.16 is: 10,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321.12 : 17,002.96 = 7,352.16 : x
  2. Step 2: Convert to fraction form
    12,321.12/17,002.96 = 7,352.16/x
  3. Step 3: Cross multiply
    12,321.12x = 17,002.96 × 7,352.16
  4. Step 4: Simplify right side
    12,321.12x = 125,008,482.39
  5. Step 5: Solve for x
    x = 125,008,482.39/12,321.12
  6. Step 6: Final answer
    x = 10,145.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.