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Finding the Fourth Proportional to 14,252.56, 19,662.96 and 8,283.16

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Solution

The fourth proportional to 14,252.56, 19,662.96 and 8,283.16 is: 11,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.56 : 19,662.96 = 8,283.16 : x
  2. Step 2: Convert to fraction form
    14,252.56/19,662.96 = 8,283.16/x
  3. Step 3: Cross multiply
    14,252.56x = 19,662.96 × 8,283.16
  4. Step 4: Simplify right side
    14,252.56x = 162,871,443.75
  5. Step 5: Solve for x
    x = 162,871,443.75/14,252.56
  6. Step 6: Final answer
    x = 11,427.52

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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.