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Finding the Fourth Proportional to 20,801.34, 31,187.43 and 7,652.00

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Solution

The fourth proportional to 20,801.34, 31,187.43 and 7,652.00 is: 11,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.34 : 31,187.43 = 7,652.00 : x
  2. Step 2: Convert to fraction form
    20,801.34/31,187.43 = 7,652.00/x
  3. Step 3: Cross multiply
    20,801.34x = 31,187.43 × 7,652.00
  4. Step 4: Simplify right side
    20,801.34x = 238,646,292.33
  5. Step 5: Solve for x
    x = 238,646,292.33/20,801.34
  6. Step 6: Final answer
    x = 11,472.64

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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.