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Finding the Fourth Proportional to 14,285.92, 21,431.60 and 5,058.40

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Solution

The fourth proportional to 14,285.92, 21,431.60 and 5,058.40 is: 7,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.92 : 21,431.60 = 5,058.40 : x
  2. Step 2: Convert to fraction form
    14,285.92/21,431.60 = 5,058.40/x
  3. Step 3: Cross multiply
    14,285.92x = 21,431.60 × 5,058.40
  4. Step 4: Simplify right side
    14,285.92x = 108,409,605.44
  5. Step 5: Solve for x
    x = 108,409,605.44/14,285.92
  6. Step 6: Final answer
    x = 7,588.56

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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.