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Finding the Fourth Proportional to 21,742.80, 30,004.68 and 12,182.65

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Solution

The fourth proportional to 21,742.80, 30,004.68 and 12,182.65 is: 16,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742.80 : 30,004.68 = 12,182.65 : x
  2. Step 2: Convert to fraction form
    21,742.80/30,004.68 = 12,182.65/x
  3. Step 3: Cross multiply
    21,742.80x = 30,004.68 × 12,182.65
  4. Step 4: Simplify right side
    21,742.80x = 365,536,484.35
  5. Step 5: Solve for x
    x = 365,536,484.35/21,742.80
  6. Step 6: Final answer
    x = 16,811.84

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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.