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Finding the Fourth Proportional to 20,225.32, 30,334.74 and 8,537.02

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Solution

The fourth proportional to 20,225.32, 30,334.74 and 8,537.02 is: 12,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.32 : 30,334.74 = 8,537.02 : x
  2. Step 2: Convert to fraction form
    20,225.32/30,334.74 = 8,537.02/x
  3. Step 3: Cross multiply
    20,225.32x = 30,334.74 × 8,537.02
  4. Step 4: Simplify right side
    20,225.32x = 258,968,174.22
  5. Step 5: Solve for x
    x = 258,968,174.22/20,225.32
  6. Step 6: Final answer
    x = 12,804.16

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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.