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Finding the Fourth Proportional to 14,704.27, 20,285.04 and 8,413

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Solution

The fourth proportional to 14,704.27, 20,285.04 and 8,413 is: 11,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.27 : 20,285.04 = 8,413 : x
  2. Step 2: Convert to fraction form
    14,704.27/20,285.04 = 8,413/x
  3. Step 3: Cross multiply
    14,704.27x = 20,285.04 × 8,413
  4. Step 4: Simplify right side
    14,704.27x = 170,658,041.52
  5. Step 5: Solve for x
    x = 170,658,041.52/14,704.27
  6. Step 6: Final answer
    x = 11,606.02

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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.