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Finding the Fourth Proportional to 20,143.52, 30,207.72 and 16,185.04

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Solution

The fourth proportional to 20,143.52, 30,207.72 and 16,185.04 is: 24,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.52 : 30,207.72 = 16,185.04 : x
  2. Step 2: Convert to fraction form
    20,143.52/30,207.72 = 16,185.04/x
  3. Step 3: Cross multiply
    20,143.52x = 30,207.72 × 16,185.04
  4. Step 4: Simplify right side
    20,143.52x = 488,913,156.51
  5. Step 5: Solve for x
    x = 488,913,156.51/20,143.52
  6. Step 6: Final answer
    x = 24,271.49

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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.