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Finding the Fourth Proportional to 13,402.36, 18,492.59 and 8,097.47

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Solution

The fourth proportional to 13,402.36, 18,492.59 and 8,097.47 is: 11,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.36 : 18,492.59 = 8,097.47 : x
  2. Step 2: Convert to fraction form
    13,402.36/18,492.59 = 8,097.47/x
  3. Step 3: Cross multiply
    13,402.36x = 18,492.59 × 8,097.47
  4. Step 4: Simplify right side
    13,402.36x = 149,743,120.53
  5. Step 5: Solve for x
    x = 149,743,120.53/13,402.36
  6. Step 6: Final answer
    x = 11,172.89

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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.