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Finding the Fourth Proportional to 20,474.00, 30,701.43 and 14,237.10

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Solution

The fourth proportional to 20,474.00, 30,701.43 and 14,237.10 is: 21,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.00 : 30,701.43 = 14,237.10 : x
  2. Step 2: Convert to fraction form
    20,474.00/30,701.43 = 14,237.10/x
  3. Step 3: Cross multiply
    20,474.00x = 30,701.43 × 14,237.10
  4. Step 4: Simplify right side
    20,474.00x = 437,099,329.05
  5. Step 5: Solve for x
    x = 437,099,329.05/20,474.00
  6. Step 6: Final answer
    x = 21,349.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.