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Finding the Fourth Proportional to 16,365, 22,584.18 and 8,913.48

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Solution

The fourth proportional to 16,365, 22,584.18 and 8,913.48 is: 12,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365 : 22,584.18 = 8,913.48 : x
  2. Step 2: Convert to fraction form
    16,365/22,584.18 = 8,913.48/x
  3. Step 3: Cross multiply
    16,365x = 22,584.18 × 8,913.48
  4. Step 4: Simplify right side
    16,365x = 201,303,636.75
  5. Step 5: Solve for x
    x = 201,303,636.75/16,365
  6. Step 6: Final answer
    x = 12,300.86

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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.