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Finding the Fourth Proportional to 13,466.84, 18,582.75 and 7,497.54

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Solution

The fourth proportional to 13,466.84, 18,582.75 and 7,497.54 is: 10,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.84 : 18,582.75 = 7,497.54 : x
  2. Step 2: Convert to fraction form
    13,466.84/18,582.75 = 7,497.54/x
  3. Step 3: Cross multiply
    13,466.84x = 18,582.75 × 7,497.54
  4. Step 4: Simplify right side
    13,466.84x = 139,324,911.44
  5. Step 5: Solve for x
    x = 139,324,911.44/13,466.84
  6. Step 6: Final answer
    x = 10,345.78

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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.