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Finding the Fourth Proportional to 14,905.12, 20,572.46 and 9,869.53

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Solution

The fourth proportional to 14,905.12, 20,572.46 and 9,869.53 is: 13,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.12 : 20,572.46 = 9,869.53 : x
  2. Step 2: Convert to fraction form
    14,905.12/20,572.46 = 9,869.53/x
  3. Step 3: Cross multiply
    14,905.12x = 20,572.46 × 9,869.53
  4. Step 4: Simplify right side
    14,905.12x = 203,040,511.14
  5. Step 5: Solve for x
    x = 203,040,511.14/14,905.12
  6. Step 6: Final answer
    x = 13,622.20

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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.