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Finding the Fourth Proportional to 13,017.34, 17,963.89 and 7,049

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Solution

The fourth proportional to 13,017.34, 17,963.89 and 7,049 is: 9,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.34 : 17,963.89 = 7,049 : x
  2. Step 2: Convert to fraction form
    13,017.34/17,963.89 = 7,049/x
  3. Step 3: Cross multiply
    13,017.34x = 17,963.89 × 7,049
  4. Step 4: Simplify right side
    13,017.34x = 126,627,460.61
  5. Step 5: Solve for x
    x = 126,627,460.61/13,017.34
  6. Step 6: Final answer
    x = 9,727.60

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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.