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Finding the Fourth Proportional to 13,078.47, 18,051.17 and 8,602.64

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Solution

The fourth proportional to 13,078.47, 18,051.17 and 8,602.64 is: 11,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.47 : 18,051.17 = 8,602.64 : x
  2. Step 2: Convert to fraction form
    13,078.47/18,051.17 = 8,602.64/x
  3. Step 3: Cross multiply
    13,078.47x = 18,051.17 × 8,602.64
  4. Step 4: Simplify right side
    13,078.47x = 155,287,717.09
  5. Step 5: Solve for x
    x = 155,287,717.09/13,078.47
  6. Step 6: Final answer
    x = 11,873.54

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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.