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Finding the Fourth Proportional to 17,141.76, 25,701.12 and 9,645.84

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Solution

The fourth proportional to 17,141.76, 25,701.12 and 9,645.84 is: 14,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141.76 : 25,701.12 = 9,645.84 : x
  2. Step 2: Convert to fraction form
    17,141.76/25,701.12 = 9,645.84/x
  3. Step 3: Cross multiply
    17,141.76x = 25,701.12 × 9,645.84
  4. Step 4: Simplify right side
    17,141.76x = 247,908,891.34
  5. Step 5: Solve for x
    x = 247,908,891.34/17,141.76
  6. Step 6: Final answer
    x = 14,462.28

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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.