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Finding the Fourth Proportional to 16,953.64, 23,415.18 and 11,566.83

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Solution

The fourth proportional to 16,953.64, 23,415.18 and 11,566.83 is: 15,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,953.64 : 23,415.18 = 11,566.83 : x
  2. Step 2: Convert to fraction form
    16,953.64/23,415.18 = 11,566.83/x
  3. Step 3: Cross multiply
    16,953.64x = 23,415.18 × 11,566.83
  4. Step 4: Simplify right side
    16,953.64x = 270,839,406.48
  5. Step 5: Solve for x
    x = 270,839,406.48/16,953.64
  6. Step 6: Final answer
    x = 15,975.30

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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.