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Finding the Fourth Proportional to 13,402.32, 18,495.18 and 8,097.18

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Solution

The fourth proportional to 13,402.32, 18,495.18 and 8,097.18 is: 11,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.32 : 18,495.18 = 8,097.18 : x
  2. Step 2: Convert to fraction form
    13,402.32/18,495.18 = 8,097.18/x
  3. Step 3: Cross multiply
    13,402.32x = 18,495.18 × 8,097.18
  4. Step 4: Simplify right side
    13,402.32x = 149,758,801.59
  5. Step 5: Solve for x
    x = 149,758,801.59/13,402.32
  6. Step 6: Final answer
    x = 11,174.10

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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.