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Finding the Fourth Proportional to 20,866.14, 31,301.03 and 9,176.63

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Solution

The fourth proportional to 20,866.14, 31,301.03 and 9,176.63 is: 13,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.14 : 31,301.03 = 9,176.63 : x
  2. Step 2: Convert to fraction form
    20,866.14/31,301.03 = 9,176.63/x
  3. Step 3: Cross multiply
    20,866.14x = 31,301.03 × 9,176.63
  4. Step 4: Simplify right side
    20,866.14x = 287,237,837.37
  5. Step 5: Solve for x
    x = 287,237,837.37/20,866.14
  6. Step 6: Final answer
    x = 13,765.74

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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.