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Finding the Fourth Proportional to 16,400.34, 22,631.67 and 9,326.61

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Solution

The fourth proportional to 16,400.34, 22,631.67 and 9,326.61 is: 12,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.34 : 22,631.67 = 9,326.61 : x
  2. Step 2: Convert to fraction form
    16,400.34/22,631.67 = 9,326.61/x
  3. Step 3: Cross multiply
    16,400.34x = 22,631.67 × 9,326.61
  4. Step 4: Simplify right side
    16,400.34x = 211,076,759.74
  5. Step 5: Solve for x
    x = 211,076,759.74/16,400.34
  6. Step 6: Final answer
    x = 12,870.27

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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.