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Finding the Fourth Proportional to 17,762.67, 26,641.89 and 13,817.88

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Solution

The fourth proportional to 17,762.67, 26,641.89 and 13,817.88 is: 20,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.67 : 26,641.89 = 13,817.88 : x
  2. Step 2: Convert to fraction form
    17,762.67/26,641.89 = 13,817.88/x
  3. Step 3: Cross multiply
    17,762.67x = 26,641.89 × 13,817.88
  4. Step 4: Simplify right side
    17,762.67x = 368,134,438.99
  5. Step 5: Solve for x
    x = 368,134,438.99/17,762.67
  6. Step 6: Final answer
    x = 20,725.17

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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.