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Finding the Fourth Proportional to 14,283.56, 21,433.44 and 7,709.60

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Solution

The fourth proportional to 14,283.56, 21,433.44 and 7,709.60 is: 11,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.56 : 21,433.44 = 7,709.60 : x
  2. Step 2: Convert to fraction form
    14,283.56/21,433.44 = 7,709.60/x
  3. Step 3: Cross multiply
    14,283.56x = 21,433.44 × 7,709.60
  4. Step 4: Simplify right side
    14,283.56x = 165,243,176.17
  5. Step 5: Solve for x
    x = 165,243,176.17/14,283.56
  6. Step 6: Final answer
    x = 11,568.77

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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.