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Finding the Fourth Proportional to 17,135, 25,702.50 and 4,823

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Solution

The fourth proportional to 17,135, 25,702.50 and 4,823 is: 7,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,135 : 25,702.50 = 4,823 : x
  2. Step 2: Convert to fraction form
    17,135/25,702.50 = 4,823/x
  3. Step 3: Cross multiply
    17,135x = 25,702.50 × 4,823
  4. Step 4: Simplify right side
    17,135x = 123,963,157.50
  5. Step 5: Solve for x
    x = 123,963,157.50/17,135
  6. Step 6: Final answer
    x = 7,234.50

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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.