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Finding the Fourth Proportional to 16,953.12, 25,415.28 and 8,194.32

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Solution

The fourth proportional to 16,953.12, 25,415.28 and 8,194.32 is: 12,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,953.12 : 25,415.28 = 8,194.32 : x
  2. Step 2: Convert to fraction form
    16,953.12/25,415.28 = 8,194.32/x
  3. Step 3: Cross multiply
    16,953.12x = 25,415.28 × 8,194.32
  4. Step 4: Simplify right side
    16,953.12x = 208,260,937.21
  5. Step 5: Solve for x
    x = 208,260,937.21/16,953.12
  6. Step 6: Final answer
    x = 12,284.52

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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.