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Finding the Fourth Proportional to 16,608, 22,916.80 and 9,533.12

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Solution

The fourth proportional to 16,608, 22,916.80 and 9,533.12 is: 13,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,608 : 22,916.80 = 9,533.12 : x
  2. Step 2: Convert to fraction form
    16,608/22,916.80 = 9,533.12/x
  3. Step 3: Cross multiply
    16,608x = 22,916.80 × 9,533.12
  4. Step 4: Simplify right side
    16,608x = 218,468,604.42
  5. Step 5: Solve for x
    x = 218,468,604.42/16,608
  6. Step 6: Final answer
    x = 13,154.42

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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.