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Finding the Fourth Proportional to 13,835.29, 20,759.02 and 7,259.93

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Solution

The fourth proportional to 13,835.29, 20,759.02 and 7,259.93 is: 10,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.29 : 20,759.02 = 7,259.93 : x
  2. Step 2: Convert to fraction form
    13,835.29/20,759.02 = 7,259.93/x
  3. Step 3: Cross multiply
    13,835.29x = 20,759.02 × 7,259.93
  4. Step 4: Simplify right side
    13,835.29x = 150,709,032.07
  5. Step 5: Solve for x
    x = 150,709,032.07/13,835.29
  6. Step 6: Final answer
    x = 10,893.09

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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.