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Finding the Fourth Proportional to 20,149.94, 30,216 and 9,056.18

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Solution

The fourth proportional to 20,149.94, 30,216 and 9,056.18 is: 13,580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.94 : 30,216 = 9,056.18 : x
  2. Step 2: Convert to fraction form
    20,149.94/30,216 = 9,056.18/x
  3. Step 3: Cross multiply
    20,149.94x = 30,216 × 9,056.18
  4. Step 4: Simplify right side
    20,149.94x = 273,641,534.88
  5. Step 5: Solve for x
    x = 273,641,534.88/20,149.94
  6. Step 6: Final answer
    x = 13,580.27

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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.