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Finding the Fourth Proportional to 16,563.69, 22,827.17 and 12,308.01

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Solution

The fourth proportional to 16,563.69, 22,827.17 and 12,308.01 is: 16,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.69 : 22,827.17 = 12,308.01 : x
  2. Step 2: Convert to fraction form
    16,563.69/22,827.17 = 12,308.01/x
  3. Step 3: Cross multiply
    16,563.69x = 22,827.17 × 12,308.01
  4. Step 4: Simplify right side
    16,563.69x = 280,956,975.09
  5. Step 5: Solve for x
    x = 280,956,975.09/16,563.69
  6. Step 6: Final answer
    x = 16,962.22

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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.