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Finding the Fourth Proportional to 13,029.48, 17,980.25 and 7,721.15

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Solution

The fourth proportional to 13,029.48, 17,980.25 and 7,721.15 is: 10,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.48 : 17,980.25 = 7,721.15 : x
  2. Step 2: Convert to fraction form
    13,029.48/17,980.25 = 7,721.15/x
  3. Step 3: Cross multiply
    13,029.48x = 17,980.25 × 7,721.15
  4. Step 4: Simplify right side
    13,029.48x = 138,828,078.78
  5. Step 5: Solve for x
    x = 138,828,078.78/13,029.48
  6. Step 6: Final answer
    x = 10,654.92

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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.