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Finding the Fourth Proportional to 12,447.93, 18,673.65 and 4,656

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Solution

The fourth proportional to 12,447.93, 18,673.65 and 4,656 is: 6,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.93 : 18,673.65 = 4,656 : x
  2. Step 2: Convert to fraction form
    12,447.93/18,673.65 = 4,656/x
  3. Step 3: Cross multiply
    12,447.93x = 18,673.65 × 4,656
  4. Step 4: Simplify right side
    12,447.93x = 86,944,514.40
  5. Step 5: Solve for x
    x = 86,944,514.40/12,447.93
  6. Step 6: Final answer
    x = 6,984.66

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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.