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Finding the Fourth Proportional to 20,042.72, 30,069.12 and 9,516.32

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Solution

The fourth proportional to 20,042.72, 30,069.12 and 9,516.32 is: 14,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.72 : 30,069.12 = 9,516.32 : x
  2. Step 2: Convert to fraction form
    20,042.72/30,069.12 = 9,516.32/x
  3. Step 3: Cross multiply
    20,042.72x = 30,069.12 × 9,516.32
  4. Step 4: Simplify right side
    20,042.72x = 286,147,368.04
  5. Step 5: Solve for x
    x = 286,147,368.04/20,042.72
  6. Step 6: Final answer
    x = 14,276.87

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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.