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Finding the Fourth Proportional to 14,596.76, 21,901.61 and 7,096.97

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Solution

The fourth proportional to 14,596.76, 21,901.61 and 7,096.97 is: 10,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.76 : 21,901.61 = 7,096.97 : x
  2. Step 2: Convert to fraction form
    14,596.76/21,901.61 = 7,096.97/x
  3. Step 3: Cross multiply
    14,596.76x = 21,901.61 × 7,096.97
  4. Step 4: Simplify right side
    14,596.76x = 155,435,141.62
  5. Step 5: Solve for x
    x = 155,435,141.62/14,596.76
  6. Step 6: Final answer
    x = 10,648.60

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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.