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Finding the Fourth Proportional to 24,678.34, 36,958.20 and 14,116.34

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Solution

The fourth proportional to 24,678.34, 36,958.20 and 14,116.34 is: 21,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.34 : 36,958.20 = 14,116.34 : x
  2. Step 2: Convert to fraction form
    24,678.34/36,958.20 = 14,116.34/x
  3. Step 3: Cross multiply
    24,678.34x = 36,958.20 × 14,116.34
  4. Step 4: Simplify right side
    24,678.34x = 521,714,516.99
  5. Step 5: Solve for x
    x = 521,714,516.99/24,678.34
  6. Step 6: Final answer
    x = 21,140.58

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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.