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Finding the Fourth Proportional to 13,835.88, 19,096.36 and 8,459.24

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Solution

The fourth proportional to 13,835.88, 19,096.36 and 8,459.24 is: 11,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.88 : 19,096.36 = 8,459.24 : x
  2. Step 2: Convert to fraction form
    13,835.88/19,096.36 = 8,459.24/x
  3. Step 3: Cross multiply
    13,835.88x = 19,096.36 × 8,459.24
  4. Step 4: Simplify right side
    13,835.88x = 161,540,575.74
  5. Step 5: Solve for x
    x = 161,540,575.74/13,835.88
  6. Step 6: Final answer
    x = 11,675.48

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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.