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Finding the Fourth Proportional to 13,014.54, 17,960.10 and 7,046.16

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Solution

The fourth proportional to 13,014.54, 17,960.10 and 7,046.16 is: 9,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.54 : 17,960.10 = 7,046.16 : x
  2. Step 2: Convert to fraction form
    13,014.54/17,960.10 = 7,046.16/x
  3. Step 3: Cross multiply
    13,014.54x = 17,960.10 × 7,046.16
  4. Step 4: Simplify right side
    13,014.54x = 126,549,738.22
  5. Step 5: Solve for x
    x = 126,549,738.22/13,014.54
  6. Step 6: Final answer
    x = 9,723.72

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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.