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Finding the Fourth Proportional to 20,641.56, 30,975.72 and 7,492.80

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Solution

The fourth proportional to 20,641.56, 30,975.72 and 7,492.80 is: 11,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,641.56 : 30,975.72 = 7,492.80 : x
  2. Step 2: Convert to fraction form
    20,641.56/30,975.72 = 7,492.80/x
  3. Step 3: Cross multiply
    20,641.56x = 30,975.72 × 7,492.80
  4. Step 4: Simplify right side
    20,641.56x = 232,094,874.82
  5. Step 5: Solve for x
    x = 232,094,874.82/20,641.56
  6. Step 6: Final answer
    x = 11,244.06

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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.