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Finding the Fourth Proportional to 20,959.52, 31,430.06 and 11,096.50

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Solution

The fourth proportional to 20,959.52, 31,430.06 and 11,096.50 is: 16,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959.52 : 31,430.06 = 11,096.50 : x
  2. Step 2: Convert to fraction form
    20,959.52/31,430.06 = 11,096.50/x
  3. Step 3: Cross multiply
    20,959.52x = 31,430.06 × 11,096.50
  4. Step 4: Simplify right side
    20,959.52x = 348,763,609.96
  5. Step 5: Solve for x
    x = 348,763,609.96/20,959.52
  6. Step 6: Final answer
    x = 16,639.86

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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.