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Finding the Fourth Proportional to 17,488.34, 24,142.84 and 11,852.88

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Solution

The fourth proportional to 17,488.34, 24,142.84 and 11,852.88 is: 16,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,488.34 : 24,142.84 = 11,852.88 : x
  2. Step 2: Convert to fraction form
    17,488.34/24,142.84 = 11,852.88/x
  3. Step 3: Cross multiply
    17,488.34x = 24,142.84 × 11,852.88
  4. Step 4: Simplify right side
    17,488.34x = 286,162,185.38
  5. Step 5: Solve for x
    x = 286,162,185.38/17,488.34
  6. Step 6: Final answer
    x = 16,363.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.