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Finding the Fourth Proportional to 14,416.64, 19,883.44 and 9,939.37

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Solution

The fourth proportional to 14,416.64, 19,883.44 and 9,939.37 is: 13,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.64 : 19,883.44 = 9,939.37 : x
  2. Step 2: Convert to fraction form
    14,416.64/19,883.44 = 9,939.37/x
  3. Step 3: Cross multiply
    14,416.64x = 19,883.44 × 9,939.37
  4. Step 4: Simplify right side
    14,416.64x = 197,628,867.03
  5. Step 5: Solve for x
    x = 197,628,867.03/14,416.64
  6. Step 6: Final answer
    x = 13,708.39

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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.