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Finding the Fourth Proportional to 20,005.44, 29,987.64 and 7,523.16

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Solution

The fourth proportional to 20,005.44, 29,987.64 and 7,523.16 is: 11,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.44 : 29,987.64 = 7,523.16 : x
  2. Step 2: Convert to fraction form
    20,005.44/29,987.64 = 7,523.16/x
  3. Step 3: Cross multiply
    20,005.44x = 29,987.64 × 7,523.16
  4. Step 4: Simplify right side
    20,005.44x = 225,601,813.74
  5. Step 5: Solve for x
    x = 225,601,813.74/20,005.44
  6. Step 6: Final answer
    x = 11,277.02

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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.