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Finding the Fourth Proportional to 13,029.24, 17,980.62 and 7,440.60

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Solution

The fourth proportional to 13,029.24, 17,980.62 and 7,440.60 is: 10,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.24 : 17,980.62 = 7,440.60 : x
  2. Step 2: Convert to fraction form
    13,029.24/17,980.62 = 7,440.60/x
  3. Step 3: Cross multiply
    13,029.24x = 17,980.62 × 7,440.60
  4. Step 4: Simplify right side
    13,029.24x = 133,786,601.17
  5. Step 5: Solve for x
    x = 133,786,601.17/13,029.24
  6. Step 6: Final answer
    x = 10,268.18

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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.