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Finding the Fourth Proportional to 13,402.40, 18,497.12 and 8,097.44

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Solution

The fourth proportional to 13,402.40, 18,497.12 and 8,097.44 is: 11,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.40 : 18,497.12 = 8,097.44 : x
  2. Step 2: Convert to fraction form
    13,402.40/18,497.12 = 8,097.44/x
  3. Step 3: Cross multiply
    13,402.40x = 18,497.12 × 8,097.44
  4. Step 4: Simplify right side
    13,402.40x = 149,779,319.37
  5. Step 5: Solve for x
    x = 149,779,319.37/13,402.40
  6. Step 6: Final answer
    x = 11,175.56

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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.