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Finding the Fourth Proportional to 20,316.92, 30,477.96 and 7,840.50

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Solution

The fourth proportional to 20,316.92, 30,477.96 and 7,840.50 is: 11,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,316.92 : 30,477.96 = 7,840.50 : x
  2. Step 2: Convert to fraction form
    20,316.92/30,477.96 = 7,840.50/x
  3. Step 3: Cross multiply
    20,316.92x = 30,477.96 × 7,840.50
  4. Step 4: Simplify right side
    20,316.92x = 238,962,445.38
  5. Step 5: Solve for x
    x = 238,962,445.38/20,316.92
  6. Step 6: Final answer
    x = 11,761.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.