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Finding the Fourth Proportional to 20,504.47, 30,760.80 and 7,357.87

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Solution

The fourth proportional to 20,504.47, 30,760.80 and 7,357.87 is: 11,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.47 : 30,760.80 = 7,357.87 : x
  2. Step 2: Convert to fraction form
    20,504.47/30,760.80 = 7,357.87/x
  3. Step 3: Cross multiply
    20,504.47x = 30,760.80 × 7,357.87
  4. Step 4: Simplify right side
    20,504.47x = 226,333,967.50
  5. Step 5: Solve for x
    x = 226,333,967.50/20,504.47
  6. Step 6: Final answer
    x = 11,038.27

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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.