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Finding the Fourth Proportional to 16,983, 23,445.84 and 11,886.36

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Solution

The fourth proportional to 16,983, 23,445.84 and 11,886.36 is: 16,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983 : 23,445.84 = 11,886.36 : x
  2. Step 2: Convert to fraction form
    16,983/23,445.84 = 11,886.36/x
  3. Step 3: Cross multiply
    16,983x = 23,445.84 × 11,886.36
  4. Step 4: Simplify right side
    16,983x = 278,685,694.74
  5. Step 5: Solve for x
    x = 278,685,694.74/16,983
  6. Step 6: Final answer
    x = 16,409.69

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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.