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Finding the Fourth Proportional to 20,152.13, 30,228.19 and 7,840.13

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Solution

The fourth proportional to 20,152.13, 30,228.19 and 7,840.13 is: 11,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.13 : 30,228.19 = 7,840.13 : x
  2. Step 2: Convert to fraction form
    20,152.13/30,228.19 = 7,840.13/x
  3. Step 3: Cross multiply
    20,152.13x = 30,228.19 × 7,840.13
  4. Step 4: Simplify right side
    20,152.13x = 236,992,768.52
  5. Step 5: Solve for x
    x = 236,992,768.52/20,152.13
  6. Step 6: Final answer
    x = 11,760.19

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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.