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Finding the Fourth Proportional to 11,657.46, 17,500.84 and 9,346.27

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Solution

The fourth proportional to 11,657.46, 17,500.84 and 9,346.27 is: 14,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.46 : 17,500.84 = 9,346.27 : x
  2. Step 2: Convert to fraction form
    11,657.46/17,500.84 = 9,346.27/x
  3. Step 3: Cross multiply
    11,657.46x = 17,500.84 × 9,346.27
  4. Step 4: Simplify right side
    11,657.46x = 163,567,575.87
  5. Step 5: Solve for x
    x = 163,567,575.87/11,657.46
  6. Step 6: Final answer
    x = 14,031.15

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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.