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Finding the Fourth Proportional to 16,330.38, 22,534.08 and 9,255.42

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Solution

The fourth proportional to 16,330.38, 22,534.08 and 9,255.42 is: 12,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,330.38 : 22,534.08 = 9,255.42 : x
  2. Step 2: Convert to fraction form
    16,330.38/22,534.08 = 9,255.42/x
  3. Step 3: Cross multiply
    16,330.38x = 22,534.08 × 9,255.42
  4. Step 4: Simplify right side
    16,330.38x = 208,562,374.71
  5. Step 5: Solve for x
    x = 208,562,374.71/16,330.38
  6. Step 6: Final answer
    x = 12,771.43

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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.