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Finding the Fourth Proportional to 13,234.80, 18,265.70 and 7,645.80

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Solution

The fourth proportional to 13,234.80, 18,265.70 and 7,645.80 is: 10,552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.80 : 18,265.70 = 7,645.80 : x
  2. Step 2: Convert to fraction form
    13,234.80/18,265.70 = 7,645.80/x
  3. Step 3: Cross multiply
    13,234.80x = 18,265.70 × 7,645.80
  4. Step 4: Simplify right side
    13,234.80x = 139,655,889.06
  5. Step 5: Solve for x
    x = 139,655,889.06/13,234.80
  6. Step 6: Final answer
    x = 10,552.17

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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.