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Finding the Fourth Proportional to 17,300.64, 23,850 and 12,324

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Solution

The fourth proportional to 17,300.64, 23,850 and 12,324 is: 16,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,300.64 : 23,850 = 12,324 : x
  2. Step 2: Convert to fraction form
    17,300.64/23,850 = 12,324/x
  3. Step 3: Cross multiply
    17,300.64x = 23,850 × 12,324
  4. Step 4: Simplify right side
    17,300.64x = 293,927,400
  5. Step 5: Solve for x
    x = 293,927,400/17,300.64
  6. Step 6: Final answer
    x = 16,989.39

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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.