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Finding the Fourth Proportional to 20,222.32, 30,332.54 and 7,077.64

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Solution

The fourth proportional to 20,222.32, 30,332.54 and 7,077.64 is: 10,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222.32 : 30,332.54 = 7,077.64 : x
  2. Step 2: Convert to fraction form
    20,222.32/30,332.54 = 7,077.64/x
  3. Step 3: Cross multiply
    20,222.32x = 30,332.54 × 7,077.64
  4. Step 4: Simplify right side
    20,222.32x = 214,682,798.41
  5. Step 5: Solve for x
    x = 214,682,798.41/20,222.32
  6. Step 6: Final answer
    x = 10,616.13

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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.