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Finding the Fourth Proportional to 12,435.02, 18,643.21 and 7,503.49

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Solution

The fourth proportional to 12,435.02, 18,643.21 and 7,503.49 is: 11,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.02 : 18,643.21 = 7,503.49 : x
  2. Step 2: Convert to fraction form
    12,435.02/18,643.21 = 7,503.49/x
  3. Step 3: Cross multiply
    12,435.02x = 18,643.21 × 7,503.49
  4. Step 4: Simplify right side
    12,435.02x = 139,889,139.80
  5. Step 5: Solve for x
    x = 139,889,139.80/12,435.02
  6. Step 6: Final answer
    x = 11,249.61

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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.