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Finding the Fourth Proportional to 20,695.66, 31,051.02 and 10,164.58

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Solution

The fourth proportional to 20,695.66, 31,051.02 and 10,164.58 is: 15,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,695.66 : 31,051.02 = 10,164.58 : x
  2. Step 2: Convert to fraction form
    20,695.66/31,051.02 = 10,164.58/x
  3. Step 3: Cross multiply
    20,695.66x = 31,051.02 × 10,164.58
  4. Step 4: Simplify right side
    20,695.66x = 315,620,576.87
  5. Step 5: Solve for x
    x = 315,620,576.87/20,695.66
  6. Step 6: Final answer
    x = 15,250.57

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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.