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Finding the Fourth Proportional to 16,380, 22,604.40 and 8,928

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Solution

The fourth proportional to 16,380, 22,604.40 and 8,928 is: 12,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380 : 22,604.40 = 8,928 : x
  2. Step 2: Convert to fraction form
    16,380/22,604.40 = 8,928/x
  3. Step 3: Cross multiply
    16,380x = 22,604.40 × 8,928
  4. Step 4: Simplify right side
    16,380x = 201,812,083.20
  5. Step 5: Solve for x
    x = 201,812,083.20/16,380
  6. Step 6: Final answer
    x = 12,320.64

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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.