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Finding the Fourth Proportional to 12,261.21, 18,410.26 and 7,002.15

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Solution

The fourth proportional to 12,261.21, 18,410.26 and 7,002.15 is: 10,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.21 : 18,410.26 = 7,002.15 : x
  2. Step 2: Convert to fraction form
    12,261.21/18,410.26 = 7,002.15/x
  3. Step 3: Cross multiply
    12,261.21x = 18,410.26 × 7,002.15
  4. Step 4: Simplify right side
    12,261.21x = 128,911,367.05
  5. Step 5: Solve for x
    x = 128,911,367.05/12,261.21
  6. Step 6: Final answer
    x = 10,513.76

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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.