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Finding the Fourth Proportional to 11,554.32, 17,240.82 and 10,849.08

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Solution

The fourth proportional to 11,554.32, 17,240.82 and 10,849.08 is: 16,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.32 : 17,240.82 = 10,849.08 : x
  2. Step 2: Convert to fraction form
    11,554.32/17,240.82 = 10,849.08/x
  3. Step 3: Cross multiply
    11,554.32x = 17,240.82 × 10,849.08
  4. Step 4: Simplify right side
    11,554.32x = 187,047,035.45
  5. Step 5: Solve for x
    x = 187,047,035.45/11,554.32
  6. Step 6: Final answer
    x = 16,188.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.