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Finding the Fourth Proportional to 14,893.47, 20,555.37 and 9,234

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Solution

The fourth proportional to 14,893.47, 20,555.37 and 9,234 is: 12,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.47 : 20,555.37 = 9,234 : x
  2. Step 2: Convert to fraction form
    14,893.47/20,555.37 = 9,234/x
  3. Step 3: Cross multiply
    14,893.47x = 20,555.37 × 9,234
  4. Step 4: Simplify right side
    14,893.47x = 189,808,286.58
  5. Step 5: Solve for x
    x = 189,808,286.58/14,893.47
  6. Step 6: Final answer
    x = 12,744.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.