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Finding the Fourth Proportional to 13,030.54, 17,982.14 and 7,062.19

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Solution

The fourth proportional to 13,030.54, 17,982.14 and 7,062.19 is: 9,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.54 : 17,982.14 = 7,062.19 : x
  2. Step 2: Convert to fraction form
    13,030.54/17,982.14 = 7,062.19/x
  3. Step 3: Cross multiply
    13,030.54x = 17,982.14 × 7,062.19
  4. Step 4: Simplify right side
    13,030.54x = 126,993,209.02
  5. Step 5: Solve for x
    x = 126,993,209.02/13,030.54
  6. Step 6: Final answer
    x = 9,745.82

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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.