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Finding the Fourth Proportional to 20,686.32, 31,028.94 and 7,538.94

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Solution

The fourth proportional to 20,686.32, 31,028.94 and 7,538.94 is: 11,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.32 : 31,028.94 = 7,538.94 : x
  2. Step 2: Convert to fraction form
    20,686.32/31,028.94 = 7,538.94/x
  3. Step 3: Cross multiply
    20,686.32x = 31,028.94 × 7,538.94
  4. Step 4: Simplify right side
    20,686.32x = 233,925,316.92
  5. Step 5: Solve for x
    x = 233,925,316.92/20,686.32
  6. Step 6: Final answer
    x = 11,308.21

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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.