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Finding the Fourth Proportional to 16,400.58, 22,632.69 and 9,327

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Solution

The fourth proportional to 16,400.58, 22,632.69 and 9,327 is: 12,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.58 : 22,632.69 = 9,327 : x
  2. Step 2: Convert to fraction form
    16,400.58/22,632.69 = 9,327/x
  3. Step 3: Cross multiply
    16,400.58x = 22,632.69 × 9,327
  4. Step 4: Simplify right side
    16,400.58x = 211,095,099.63
  5. Step 5: Solve for x
    x = 211,095,099.63/16,400.58
  6. Step 6: Final answer
    x = 12,871.20

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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.