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Finding the Fourth Proportional to 20,506.08, 30,752.64 and 7,358.16

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Solution

The fourth proportional to 20,506.08, 30,752.64 and 7,358.16 is: 11,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.08 : 30,752.64 = 7,358.16 : x
  2. Step 2: Convert to fraction form
    20,506.08/30,752.64 = 7,358.16/x
  3. Step 3: Cross multiply
    20,506.08x = 30,752.64 × 7,358.16
  4. Step 4: Simplify right side
    20,506.08x = 226,282,845.54
  5. Step 5: Solve for x
    x = 226,282,845.54/20,506.08
  6. Step 6: Final answer
    x = 11,034.91

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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.