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Finding the Fourth Proportional to 12,447.22, 18,673 and 4,655.84

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Solution

The fourth proportional to 12,447.22, 18,673 and 4,655.84 is: 6,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.22 : 18,673 = 4,655.84 : x
  2. Step 2: Convert to fraction form
    12,447.22/18,673 = 4,655.84/x
  3. Step 3: Cross multiply
    12,447.22x = 18,673 × 4,655.84
  4. Step 4: Simplify right side
    12,447.22x = 86,938,500.32
  5. Step 5: Solve for x
    x = 86,938,500.32/12,447.22
  6. Step 6: Final answer
    x = 6,984.57

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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.