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Finding the Fourth Proportional to 30,211.80, 45,306.92 and 11,486.86

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Solution

The fourth proportional to 30,211.80, 45,306.92 and 11,486.86 is: 17,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.80 : 45,306.92 = 11,486.86 : x
  2. Step 2: Convert to fraction form
    30,211.80/45,306.92 = 11,486.86/x
  3. Step 3: Cross multiply
    30,211.80x = 45,306.92 × 11,486.86
  4. Step 4: Simplify right side
    30,211.80x = 520,434,247.07
  5. Step 5: Solve for x
    x = 520,434,247.07/30,211.80
  6. Step 6: Final answer
    x = 17,226.19

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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.