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Finding the Fourth Proportional to 13,525.96, 18,677.70 and 8,498.89

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Solution

The fourth proportional to 13,525.96, 18,677.70 and 8,498.89 is: 11,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.96 : 18,677.70 = 8,498.89 : x
  2. Step 2: Convert to fraction form
    13,525.96/18,677.70 = 8,498.89/x
  3. Step 3: Cross multiply
    13,525.96x = 18,677.70 × 8,498.89
  4. Step 4: Simplify right side
    13,525.96x = 158,739,717.75
  5. Step 5: Solve for x
    x = 158,739,717.75/13,525.96
  6. Step 6: Final answer
    x = 11,735.93

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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.