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Finding the Fourth Proportional to 16,786, 23,164.74 and 9,232.80

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Solution

The fourth proportional to 16,786, 23,164.74 and 9,232.80 is: 12,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,786 : 23,164.74 = 9,232.80 : x
  2. Step 2: Convert to fraction form
    16,786/23,164.74 = 9,232.80/x
  3. Step 3: Cross multiply
    16,786x = 23,164.74 × 9,232.80
  4. Step 4: Simplify right side
    16,786x = 213,875,411.47
  5. Step 5: Solve for x
    x = 213,875,411.47/16,786
  6. Step 6: Final answer
    x = 12,741.30

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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.