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Finding the Fourth Proportional to 11,855.82, 16,348.75 and 10,182.76

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Solution

The fourth proportional to 11,855.82, 16,348.75 and 10,182.76 is: 14,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.82 : 16,348.75 = 10,182.76 : x
  2. Step 2: Convert to fraction form
    11,855.82/16,348.75 = 10,182.76/x
  3. Step 3: Cross multiply
    11,855.82x = 16,348.75 × 10,182.76
  4. Step 4: Simplify right side
    11,855.82x = 166,475,397.55
  5. Step 5: Solve for x
    x = 166,475,397.55/11,855.82
  6. Step 6: Final answer
    x = 14,041.66

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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.