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Finding the Fourth Proportional to 12,307.68, 18,456.96 and 4,408.08

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Solution

The fourth proportional to 12,307.68, 18,456.96 and 4,408.08 is: 6,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.68 : 18,456.96 = 4,408.08 : x
  2. Step 2: Convert to fraction form
    12,307.68/18,456.96 = 4,408.08/x
  3. Step 3: Cross multiply
    12,307.68x = 18,456.96 × 4,408.08
  4. Step 4: Simplify right side
    12,307.68x = 81,359,756.24
  5. Step 5: Solve for x
    x = 81,359,756.24/12,307.68
  6. Step 6: Final answer
    x = 6,610.49

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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.