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Finding the Fourth Proportional to 16,262.12, 22,443.30 and 9,978.60

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Solution

The fourth proportional to 16,262.12, 22,443.30 and 9,978.60 is: 13,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.12 : 22,443.30 = 9,978.60 : x
  2. Step 2: Convert to fraction form
    16,262.12/22,443.30 = 9,978.60/x
  3. Step 3: Cross multiply
    16,262.12x = 22,443.30 × 9,978.60
  4. Step 4: Simplify right side
    16,262.12x = 223,952,713.38
  5. Step 5: Solve for x
    x = 223,952,713.38/16,262.12
  6. Step 6: Final answer
    x = 13,771.43

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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.