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Finding the Fourth Proportional to 12,582.34, 17,363.84 and 7,204.75

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Solution

The fourth proportional to 12,582.34, 17,363.84 and 7,204.75 is: 9,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.34 : 17,363.84 = 7,204.75 : x
  2. Step 2: Convert to fraction form
    12,582.34/17,363.84 = 7,204.75/x
  3. Step 3: Cross multiply
    12,582.34x = 17,363.84 × 7,204.75
  4. Step 4: Simplify right side
    12,582.34x = 125,102,046.81
  5. Step 5: Solve for x
    x = 125,102,046.81/12,582.34
  6. Step 6: Final answer
    x = 9,942.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.