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Finding the Fourth Proportional to 20,516.80, 30,742.80 and 17,730.40

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Solution

The fourth proportional to 20,516.80, 30,742.80 and 17,730.40 is: 26,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.80 : 30,742.80 = 17,730.40 : x
  2. Step 2: Convert to fraction form
    20,516.80/30,742.80 = 17,730.40/x
  3. Step 3: Cross multiply
    20,516.80x = 30,742.80 × 17,730.40
  4. Step 4: Simplify right side
    20,516.80x = 545,082,141.12
  5. Step 5: Solve for x
    x = 545,082,141.12/20,516.80
  6. Step 6: Final answer
    x = 26,567.60

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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.