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Finding the Fourth Proportional to 13,294.54, 18,354.09 and 8,824.33

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Solution

The fourth proportional to 13,294.54, 18,354.09 and 8,824.33 is: 12,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.54 : 18,354.09 = 8,824.33 : x
  2. Step 2: Convert to fraction form
    13,294.54/18,354.09 = 8,824.33/x
  3. Step 3: Cross multiply
    13,294.54x = 18,354.09 × 8,824.33
  4. Step 4: Simplify right side
    13,294.54x = 161,962,547.01
  5. Step 5: Solve for x
    x = 161,962,547.01/13,294.54
  6. Step 6: Final answer
    x = 12,182.64

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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.