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Finding the Fourth Proportional to 17,963.52, 24,787.36 and 10,409.78

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Solution

The fourth proportional to 17,963.52, 24,787.36 and 10,409.78 is: 14,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,963.52 : 24,787.36 = 10,409.78 : x
  2. Step 2: Convert to fraction form
    17,963.52/24,787.36 = 10,409.78/x
  3. Step 3: Cross multiply
    17,963.52x = 24,787.36 × 10,409.78
  4. Step 4: Simplify right side
    17,963.52x = 258,030,964.38
  5. Step 5: Solve for x
    x = 258,030,964.38/17,963.52
  6. Step 6: Final answer
    x = 14,364.16

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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.