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Finding the Fourth Proportional to 30,817.12, 42,514.12 and 18,063.84

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Solution

The fourth proportional to 30,817.12, 42,514.12 and 18,063.84 is: 24,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817.12 : 42,514.12 = 18,063.84 : x
  2. Step 2: Convert to fraction form
    30,817.12/42,514.12 = 18,063.84/x
  3. Step 3: Cross multiply
    30,817.12x = 42,514.12 × 18,063.84
  4. Step 4: Simplify right side
    30,817.12x = 767,967,958.53
  5. Step 5: Solve for x
    x = 767,967,958.53/30,817.12
  6. Step 6: Final answer
    x = 24,920.17

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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.