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Finding the Fourth Proportional to 13,027.48, 19,496.76 and 8,281.24

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Solution

The fourth proportional to 13,027.48, 19,496.76 and 8,281.24 is: 12,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.48 : 19,496.76 = 8,281.24 : x
  2. Step 2: Convert to fraction form
    13,027.48/19,496.76 = 8,281.24/x
  3. Step 3: Cross multiply
    13,027.48x = 19,496.76 × 8,281.24
  4. Step 4: Simplify right side
    13,027.48x = 161,457,348.78
  5. Step 5: Solve for x
    x = 161,457,348.78/13,027.48
  6. Step 6: Final answer
    x = 12,393.60

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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.