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Finding the Fourth Proportional to 17,205.72, 25,774.02 and 14,561.88

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Solution

The fourth proportional to 17,205.72, 25,774.02 and 14,561.88 is: 21,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.72 : 25,774.02 = 14,561.88 : x
  2. Step 2: Convert to fraction form
    17,205.72/25,774.02 = 14,561.88/x
  3. Step 3: Cross multiply
    17,205.72x = 25,774.02 × 14,561.88
  4. Step 4: Simplify right side
    17,205.72x = 375,318,186.36
  5. Step 5: Solve for x
    x = 375,318,186.36/17,205.72
  6. Step 6: Final answer
    x = 21,813.57

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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.