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Finding the Fourth Proportional to 20,159.37, 30,228.68 and 9,056.53

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Solution

The fourth proportional to 20,159.37, 30,228.68 and 9,056.53 is: 13,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159.37 : 30,228.68 = 9,056.53 : x
  2. Step 2: Convert to fraction form
    20,159.37/30,228.68 = 9,056.53/x
  3. Step 3: Cross multiply
    20,159.37x = 30,228.68 × 9,056.53
  4. Step 4: Simplify right side
    20,159.37x = 273,766,750.85
  5. Step 5: Solve for x
    x = 273,766,750.85/20,159.37
  6. Step 6: Final answer
    x = 13,580.12

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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.