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Finding the Fourth Proportional to 12,141.42, 16,755 and 6,836.76

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Solution

The fourth proportional to 12,141.42, 16,755 and 6,836.76 is: 9,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.42 : 16,755 = 6,836.76 : x
  2. Step 2: Convert to fraction form
    12,141.42/16,755 = 6,836.76/x
  3. Step 3: Cross multiply
    12,141.42x = 16,755 × 6,836.76
  4. Step 4: Simplify right side
    12,141.42x = 114,549,913.80
  5. Step 5: Solve for x
    x = 114,549,913.80/12,141.42
  6. Step 6: Final answer
    x = 9,434.64

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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.