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Finding the Fourth Proportional to 12,265.89, 16,921.67 and 9,602.61

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Solution

The fourth proportional to 12,265.89, 16,921.67 and 9,602.61 is: 13,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.89 : 16,921.67 = 9,602.61 : x
  2. Step 2: Convert to fraction form
    12,265.89/16,921.67 = 9,602.61/x
  3. Step 3: Cross multiply
    12,265.89x = 16,921.67 × 9,602.61
  4. Step 4: Simplify right side
    12,265.89x = 162,492,197.56
  5. Step 5: Solve for x
    x = 162,492,197.56/12,265.89
  6. Step 6: Final answer
    x = 13,247.49

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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.