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Finding the Fourth Proportional to 15,090.56, 20,821.32 and 9,784.64

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Solution

The fourth proportional to 15,090.56, 20,821.32 and 9,784.64 is: 13,500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.56 : 20,821.32 = 9,784.64 : x
  2. Step 2: Convert to fraction form
    15,090.56/20,821.32 = 9,784.64/x
  3. Step 3: Cross multiply
    15,090.56x = 20,821.32 × 9,784.64
  4. Step 4: Simplify right side
    15,090.56x = 203,729,120.52
  5. Step 5: Solve for x
    x = 203,729,120.52/15,090.56
  6. Step 6: Final answer
    x = 13,500.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.