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Finding the Fourth Proportional to 16,476, 22,736.96 and 9,024

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Solution

The fourth proportional to 16,476, 22,736.96 and 9,024 is: 12,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476 : 22,736.96 = 9,024 : x
  2. Step 2: Convert to fraction form
    16,476/22,736.96 = 9,024/x
  3. Step 3: Cross multiply
    16,476x = 22,736.96 × 9,024
  4. Step 4: Simplify right side
    16,476x = 205,178,327.04
  5. Step 5: Solve for x
    x = 205,178,327.04/16,476
  6. Step 6: Final answer
    x = 12,453.16

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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.