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Finding the Fourth Proportional to 16,954.64, 25,416.89 and 6,417.33

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Solution

The fourth proportional to 16,954.64, 25,416.89 and 6,417.33 is: 9,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954.64 : 25,416.89 = 6,417.33 : x
  2. Step 2: Convert to fraction form
    16,954.64/25,416.89 = 6,417.33/x
  3. Step 3: Cross multiply
    16,954.64x = 25,416.89 × 6,417.33
  4. Step 4: Simplify right side
    16,954.64x = 163,108,467.37
  5. Step 5: Solve for x
    x = 163,108,467.37/16,954.64
  6. Step 6: Final answer
    x = 9,620.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.