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Finding the Fourth Proportional to 23,984, 33,097.92 and 14,048

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Solution

The fourth proportional to 23,984, 33,097.92 and 14,048 is: 19,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984 : 33,097.92 = 14,048 : x
  2. Step 2: Convert to fraction form
    23,984/33,097.92 = 14,048/x
  3. Step 3: Cross multiply
    23,984x = 33,097.92 × 14,048
  4. Step 4: Simplify right side
    23,984x = 464,959,580.16
  5. Step 5: Solve for x
    x = 464,959,580.16/23,984
  6. Step 6: Final answer
    x = 19,386.24

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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.