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Finding the Fourth Proportional to 17,071.50, 25,607.52 and 4,759.50

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Solution

The fourth proportional to 17,071.50, 25,607.52 and 4,759.50 is: 7,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.50 : 25,607.52 = 4,759.50 : x
  2. Step 2: Convert to fraction form
    17,071.50/25,607.52 = 4,759.50/x
  3. Step 3: Cross multiply
    17,071.50x = 25,607.52 × 4,759.50
  4. Step 4: Simplify right side
    17,071.50x = 121,878,991.44
  5. Step 5: Solve for x
    x = 121,878,991.44/17,071.50
  6. Step 6: Final answer
    x = 7,139.33

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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.