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Finding the Fourth Proportional to 14,588.82, 20,132.67 and 8,301.20

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Solution

The fourth proportional to 14,588.82, 20,132.67 and 8,301.20 is: 11,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.82 : 20,132.67 = 8,301.20 : x
  2. Step 2: Convert to fraction form
    14,588.82/20,132.67 = 8,301.20/x
  3. Step 3: Cross multiply
    14,588.82x = 20,132.67 × 8,301.20
  4. Step 4: Simplify right side
    14,588.82x = 167,125,219.54
  5. Step 5: Solve for x
    x = 167,125,219.54/14,588.82
  6. Step 6: Final answer
    x = 11,455.71

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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.