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Finding the Fourth Proportional to 20,730.48, 31,092 and 7,583.04

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Solution

The fourth proportional to 20,730.48, 31,092 and 7,583.04 is: 11,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730.48 : 31,092 = 7,583.04 : x
  2. Step 2: Convert to fraction form
    20,730.48/31,092 = 7,583.04/x
  3. Step 3: Cross multiply
    20,730.48x = 31,092 × 7,583.04
  4. Step 4: Simplify right side
    20,730.48x = 235,771,879.68
  5. Step 5: Solve for x
    x = 235,771,879.68/20,730.48
  6. Step 6: Final answer
    x = 11,373.20

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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.