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Finding the Fourth Proportional to 17,324.64, 23,883.12 and 12,348

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Solution

The fourth proportional to 17,324.64, 23,883.12 and 12,348 is: 17,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324.64 : 23,883.12 = 12,348 : x
  2. Step 2: Convert to fraction form
    17,324.64/23,883.12 = 12,348/x
  3. Step 3: Cross multiply
    17,324.64x = 23,883.12 × 12,348
  4. Step 4: Simplify right side
    17,324.64x = 294,908,765.76
  5. Step 5: Solve for x
    x = 294,908,765.76/17,324.64
  6. Step 6: Final answer
    x = 17,022.50

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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.