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Finding the Fourth Proportional to 13,002.36, 17,935.56 and 7,968.84

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Solution

The fourth proportional to 13,002.36, 17,935.56 and 7,968.84 is: 10,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.36 : 17,935.56 = 7,968.84 : x
  2. Step 2: Convert to fraction form
    13,002.36/17,935.56 = 7,968.84/x
  3. Step 3: Cross multiply
    13,002.36x = 17,935.56 × 7,968.84
  4. Step 4: Simplify right side
    13,002.36x = 142,925,607.95
  5. Step 5: Solve for x
    x = 142,925,607.95/13,002.36
  6. Step 6: Final answer
    x = 10,992.28

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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.