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Finding the Fourth Proportional to 16,712.36, 23,062.02 and 9,637.64

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Solution

The fourth proportional to 16,712.36, 23,062.02 and 9,637.64 is: 13,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,712.36 : 23,062.02 = 9,637.64 : x
  2. Step 2: Convert to fraction form
    16,712.36/23,062.02 = 9,637.64/x
  3. Step 3: Cross multiply
    16,712.36x = 23,062.02 × 9,637.64
  4. Step 4: Simplify right side
    16,712.36x = 222,263,446.43
  5. Step 5: Solve for x
    x = 222,263,446.43/16,712.36
  6. Step 6: Final answer
    x = 13,299.35

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