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Finding the Fourth Proportional to 20,582.36, 30,867.10 and 7,433

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Solution

The fourth proportional to 20,582.36, 30,867.10 and 7,433 is: 11,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.36 : 30,867.10 = 7,433 : x
  2. Step 2: Convert to fraction form
    20,582.36/30,867.10 = 7,433/x
  3. Step 3: Cross multiply
    20,582.36x = 30,867.10 × 7,433
  4. Step 4: Simplify right side
    20,582.36x = 229,435,154.30
  5. Step 5: Solve for x
    x = 229,435,154.30/20,582.36
  6. Step 6: Final answer
    x = 11,147.17

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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.