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Finding the Fourth Proportional to 13,014.83, 17,960.45 and 7,046.50

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Solution

The fourth proportional to 13,014.83, 17,960.45 and 7,046.50 is: 9,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.83 : 17,960.45 = 7,046.50 : x
  2. Step 2: Convert to fraction form
    13,014.83/17,960.45 = 7,046.50/x
  3. Step 3: Cross multiply
    13,014.83x = 17,960.45 × 7,046.50
  4. Step 4: Simplify right side
    13,014.83x = 126,558,275.69
  5. Step 5: Solve for x
    x = 126,558,275.69/13,014.83
  6. Step 6: Final answer
    x = 9,724.16

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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.