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Finding the Fourth Proportional to 15,759.93, 23,647.41 and 9,835.21

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Solution

The fourth proportional to 15,759.93, 23,647.41 and 9,835.21 is: 14,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,759.93 : 23,647.41 = 9,835.21 : x
  2. Step 2: Convert to fraction form
    15,759.93/23,647.41 = 9,835.21/x
  3. Step 3: Cross multiply
    15,759.93x = 23,647.41 × 9,835.21
  4. Step 4: Simplify right side
    15,759.93x = 232,577,272.87
  5. Step 5: Solve for x
    x = 232,577,272.87/15,759.93
  6. Step 6: Final answer
    x = 14,757.50

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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.