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Finding the Fourth Proportional to 16,684, 23,024.64 and 9,232

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Solution

The fourth proportional to 16,684, 23,024.64 and 9,232 is: 12,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684 : 23,024.64 = 9,232 : x
  2. Step 2: Convert to fraction form
    16,684/23,024.64 = 9,232/x
  3. Step 3: Cross multiply
    16,684x = 23,024.64 × 9,232
  4. Step 4: Simplify right side
    16,684x = 212,563,476.48
  5. Step 5: Solve for x
    x = 212,563,476.48/16,684
  6. Step 6: Final answer
    x = 12,740.56

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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.