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Finding the Fourth Proportional to 20,704.10, 31,056.15 and 14,143.10

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Solution

The fourth proportional to 20,704.10, 31,056.15 and 14,143.10 is: 21,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.10 : 31,056.15 = 14,143.10 : x
  2. Step 2: Convert to fraction form
    20,704.10/31,056.15 = 14,143.10/x
  3. Step 3: Cross multiply
    20,704.10x = 31,056.15 × 14,143.10
  4. Step 4: Simplify right side
    20,704.10x = 439,230,235.07
  5. Step 5: Solve for x
    x = 439,230,235.07/20,704.10
  6. Step 6: Final answer
    x = 21,214.65

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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.