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Finding the Fourth Proportional to 17,234.64, 25,813.08 and 14,124.24

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Solution

The fourth proportional to 17,234.64, 25,813.08 and 14,124.24 is: 21,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.64 : 25,813.08 = 14,124.24 : x
  2. Step 2: Convert to fraction form
    17,234.64/25,813.08 = 14,124.24/x
  3. Step 3: Cross multiply
    17,234.64x = 25,813.08 × 14,124.24
  4. Step 4: Simplify right side
    17,234.64x = 364,590,137.06
  5. Step 5: Solve for x
    x = 364,590,137.06/17,234.64
  6. Step 6: Final answer
    x = 21,154.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.