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Finding the Fourth Proportional to 14,372.36, 21,563.04 and 9,140

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Solution

The fourth proportional to 14,372.36, 21,563.04 and 9,140 is: 13,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372.36 : 21,563.04 = 9,140 : x
  2. Step 2: Convert to fraction form
    14,372.36/21,563.04 = 9,140/x
  3. Step 3: Cross multiply
    14,372.36x = 21,563.04 × 9,140
  4. Step 4: Simplify right side
    14,372.36x = 197,086,185.60
  5. Step 5: Solve for x
    x = 197,086,185.60/14,372.36
  6. Step 6: Final answer
    x = 13,712.86

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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.