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Finding the Fourth Proportional to 20,167.30, 30,253.65 and 7,023.70

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Solution

The fourth proportional to 20,167.30, 30,253.65 and 7,023.70 is: 10,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.30 : 30,253.65 = 7,023.70 : x
  2. Step 2: Convert to fraction form
    20,167.30/30,253.65 = 7,023.70/x
  3. Step 3: Cross multiply
    20,167.30x = 30,253.65 × 7,023.70
  4. Step 4: Simplify right side
    20,167.30x = 212,492,561.51
  5. Step 5: Solve for x
    x = 212,492,561.51/20,167.30
  6. Step 6: Final answer
    x = 10,536.49

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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.