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Finding the Fourth Proportional to 27,106.51, 40,706.29 and 16,638

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Solution

The fourth proportional to 27,106.51, 40,706.29 and 16,638 is: 24,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,106.51 : 40,706.29 = 16,638 : x
  2. Step 2: Convert to fraction form
    27,106.51/40,706.29 = 16,638/x
  3. Step 3: Cross multiply
    27,106.51x = 40,706.29 × 16,638
  4. Step 4: Simplify right side
    27,106.51x = 677,271,273.82
  5. Step 5: Solve for x
    x = 677,271,273.82/27,106.51
  6. Step 6: Final answer
    x = 24,985.56

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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.