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Finding the Fourth Proportional to 16,178.88, 24,267.84 and 7,859.52

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Solution

The fourth proportional to 16,178.88, 24,267.84 and 7,859.52 is: 11,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.88 : 24,267.84 = 7,859.52 : x
  2. Step 2: Convert to fraction form
    16,178.88/24,267.84 = 7,859.52/x
  3. Step 3: Cross multiply
    16,178.88x = 24,267.84 × 7,859.52
  4. Step 4: Simplify right side
    16,178.88x = 190,733,573.84
  5. Step 5: Solve for x
    x = 190,733,573.84/16,178.88
  6. Step 6: Final answer
    x = 11,789.05

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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.