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Finding the Fourth Proportional to 14,971.37, 20,662.40 and 12,449.13

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Solution

The fourth proportional to 14,971.37, 20,662.40 and 12,449.13 is: 17,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.37 : 20,662.40 = 12,449.13 : x
  2. Step 2: Convert to fraction form
    14,971.37/20,662.40 = 12,449.13/x
  3. Step 3: Cross multiply
    14,971.37x = 20,662.40 × 12,449.13
  4. Step 4: Simplify right side
    14,971.37x = 257,228,841.47
  5. Step 5: Solve for x
    x = 257,228,841.47/14,971.37
  6. Step 6: Final answer
    x = 17,181.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.