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Finding the Fourth Proportional to 20,804.10, 31,207.43 and 7,665.63

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Solution

The fourth proportional to 20,804.10, 31,207.43 and 7,665.63 is: 11,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.10 : 31,207.43 = 7,665.63 : x
  2. Step 2: Convert to fraction form
    20,804.10/31,207.43 = 7,665.63/x
  3. Step 3: Cross multiply
    20,804.10x = 31,207.43 × 7,665.63
  4. Step 4: Simplify right side
    20,804.10x = 239,224,611.63
  5. Step 5: Solve for x
    x = 239,224,611.63/20,804.10
  6. Step 6: Final answer
    x = 11,498.92

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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.