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Finding the Fourth Proportional to 20,036.64, 30,046.32 and 7,716

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Solution

The fourth proportional to 20,036.64, 30,046.32 and 7,716 is: 11,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,036.64 : 30,046.32 = 7,716 : x
  2. Step 2: Convert to fraction form
    20,036.64/30,046.32 = 7,716/x
  3. Step 3: Cross multiply
    20,036.64x = 30,046.32 × 7,716
  4. Step 4: Simplify right side
    20,036.64x = 231,837,405.12
  5. Step 5: Solve for x
    x = 231,837,405.12/20,036.64
  6. Step 6: Final answer
    x = 11,570.67

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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.