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Finding the Fourth Proportional to 14,564.23, 20,099.70 and 8,900.06

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Solution

The fourth proportional to 14,564.23, 20,099.70 and 8,900.06 is: 12,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.23 : 20,099.70 = 8,900.06 : x
  2. Step 2: Convert to fraction form
    14,564.23/20,099.70 = 8,900.06/x
  3. Step 3: Cross multiply
    14,564.23x = 20,099.70 × 8,900.06
  4. Step 4: Simplify right side
    14,564.23x = 178,888,435.48
  5. Step 5: Solve for x
    x = 178,888,435.48/14,564.23
  6. Step 6: Final answer
    x = 12,282.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.