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Finding the Fourth Proportional to 13,030.52, 17,982.15 and 7,062.14

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Solution

The fourth proportional to 13,030.52, 17,982.15 and 7,062.14 is: 9,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.52 : 17,982.15 = 7,062.14 : x
  2. Step 2: Convert to fraction form
    13,030.52/17,982.15 = 7,062.14/x
  3. Step 3: Cross multiply
    13,030.52x = 17,982.15 × 7,062.14
  4. Step 4: Simplify right side
    13,030.52x = 126,992,460.80
  5. Step 5: Solve for x
    x = 126,992,460.80/13,030.52
  6. Step 6: Final answer
    x = 9,745.77

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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.