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Finding the Fourth Proportional to 17,605.83, 26,405.98 and 5,759.50

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Solution

The fourth proportional to 17,605.83, 26,405.98 and 5,759.50 is: 8,638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.83 : 26,405.98 = 5,759.50 : x
  2. Step 2: Convert to fraction form
    17,605.83/26,405.98 = 5,759.50/x
  3. Step 3: Cross multiply
    17,605.83x = 26,405.98 × 5,759.50
  4. Step 4: Simplify right side
    17,605.83x = 152,085,241.81
  5. Step 5: Solve for x
    x = 152,085,241.81/17,605.83
  6. Step 6: Final answer
    x = 8,638.35

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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.