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Finding the Fourth Proportional to 20,404.80, 30,592.80 and 9,316.80

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Solution

The fourth proportional to 20,404.80, 30,592.80 and 9,316.80 is: 13,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,404.80 : 30,592.80 = 9,316.80 : x
  2. Step 2: Convert to fraction form
    20,404.80/30,592.80 = 9,316.80/x
  3. Step 3: Cross multiply
    20,404.80x = 30,592.80 × 9,316.80
  4. Step 4: Simplify right side
    20,404.80x = 285,026,999.04
  5. Step 5: Solve for x
    x = 285,026,999.04/20,404.80
  6. Step 6: Final answer
    x = 13,968.62

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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.