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Finding the Fourth Proportional to 20,732.16, 31,111.20 and 8,420.16

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Solution

The fourth proportional to 20,732.16, 31,111.20 and 8,420.16 is: 12,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.16 : 31,111.20 = 8,420.16 : x
  2. Step 2: Convert to fraction form
    20,732.16/31,111.20 = 8,420.16/x
  3. Step 3: Cross multiply
    20,732.16x = 31,111.20 × 8,420.16
  4. Step 4: Simplify right side
    20,732.16x = 261,961,281.79
  5. Step 5: Solve for x
    x = 261,961,281.79/20,732.16
  6. Step 6: Final answer
    x = 12,635.50

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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.