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Finding the Fourth Proportional to 20,107.67, 30,156.63 and 8,429.63

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Solution

The fourth proportional to 20,107.67, 30,156.63 and 8,429.63 is: 12,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.67 : 30,156.63 = 8,429.63 : x
  2. Step 2: Convert to fraction form
    20,107.67/30,156.63 = 8,429.63/x
  3. Step 3: Cross multiply
    20,107.67x = 30,156.63 × 8,429.63
  4. Step 4: Simplify right side
    20,107.67x = 254,209,232.95
  5. Step 5: Solve for x
    x = 254,209,232.95/20,107.67
  6. Step 6: Final answer
    x = 12,642.40

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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.