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Finding the Fourth Proportional to 13,223.82, 18,250.06 and 7,256.66

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Solution

The fourth proportional to 13,223.82, 18,250.06 and 7,256.66 is: 10,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.82 : 18,250.06 = 7,256.66 : x
  2. Step 2: Convert to fraction form
    13,223.82/18,250.06 = 7,256.66/x
  3. Step 3: Cross multiply
    13,223.82x = 18,250.06 × 7,256.66
  4. Step 4: Simplify right side
    13,223.82x = 132,434,384.61
  5. Step 5: Solve for x
    x = 132,434,384.61/13,223.82
  6. Step 6: Final answer
    x = 10,014.83

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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.