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Finding the Fourth Proportional to 20,299.32, 30,430.20 and 7,815.60

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Solution

The fourth proportional to 20,299.32, 30,430.20 and 7,815.60 is: 11,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299.32 : 30,430.20 = 7,815.60 : x
  2. Step 2: Convert to fraction form
    20,299.32/30,430.20 = 7,815.60/x
  3. Step 3: Cross multiply
    20,299.32x = 30,430.20 × 7,815.60
  4. Step 4: Simplify right side
    20,299.32x = 237,830,271.12
  5. Step 5: Solve for x
    x = 237,830,271.12/20,299.32
  6. Step 6: Final answer
    x = 11,716.17

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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.