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Finding the Fourth Proportional to 13,569.36, 18,727.11 and 7,827.04

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Solution

The fourth proportional to 13,569.36, 18,727.11 and 7,827.04 is: 10,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569.36 : 18,727.11 = 7,827.04 : x
  2. Step 2: Convert to fraction form
    13,569.36/18,727.11 = 7,827.04/x
  3. Step 3: Cross multiply
    13,569.36x = 18,727.11 × 7,827.04
  4. Step 4: Simplify right side
    13,569.36x = 146,577,839.05
  5. Step 5: Solve for x
    x = 146,577,839.05/13,569.36
  6. Step 6: Final answer
    x = 10,802.12

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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.