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Finding the Fourth Proportional to 20,289.52, 30,421.86 and 7,143.40

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Solution

The fourth proportional to 20,289.52, 30,421.86 and 7,143.40 is: 10,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289.52 : 30,421.86 = 7,143.40 : x
  2. Step 2: Convert to fraction form
    20,289.52/30,421.86 = 7,143.40/x
  3. Step 3: Cross multiply
    20,289.52x = 30,421.86 × 7,143.40
  4. Step 4: Simplify right side
    20,289.52x = 217,315,514.72
  5. Step 5: Solve for x
    x = 217,315,514.72/20,289.52
  6. Step 6: Final answer
    x = 10,710.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.