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Finding the Fourth Proportional to 13,016.34, 17,962.51 and 7,048

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Solution

The fourth proportional to 13,016.34, 17,962.51 and 7,048 is: 9,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.34 : 17,962.51 = 7,048 : x
  2. Step 2: Convert to fraction form
    13,016.34/17,962.51 = 7,048/x
  3. Step 3: Cross multiply
    13,016.34x = 17,962.51 × 7,048
  4. Step 4: Simplify right side
    13,016.34x = 126,599,770.48
  5. Step 5: Solve for x
    x = 126,599,770.48/13,016.34
  6. Step 6: Final answer
    x = 9,726.22

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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.