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Finding the Fourth Proportional to 12,310.24, 18,435.93 and 7,100.32

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Solution

The fourth proportional to 12,310.24, 18,435.93 and 7,100.32 is: 10,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.24 : 18,435.93 = 7,100.32 : x
  2. Step 2: Convert to fraction form
    12,310.24/18,435.93 = 7,100.32/x
  3. Step 3: Cross multiply
    12,310.24x = 18,435.93 × 7,100.32
  4. Step 4: Simplify right side
    12,310.24x = 130,901,002.50
  5. Step 5: Solve for x
    x = 130,901,002.50/12,310.24
  6. Step 6: Final answer
    x = 10,633.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.