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Finding the Fourth Proportional to 20,503.32, 30,771.24 and 9,415.12

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Solution

The fourth proportional to 20,503.32, 30,771.24 and 9,415.12 is: 14,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.32 : 30,771.24 = 9,415.12 : x
  2. Step 2: Convert to fraction form
    20,503.32/30,771.24 = 9,415.12/x
  3. Step 3: Cross multiply
    20,503.32x = 30,771.24 × 9,415.12
  4. Step 4: Simplify right side
    20,503.32x = 289,714,917.15
  5. Step 5: Solve for x
    x = 289,714,917.15/20,503.32
  6. Step 6: Final answer
    x = 14,130.15

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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.