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Finding the Fourth Proportional to 13,754.13, 18,980.92 and 7,466.50

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Solution

The fourth proportional to 13,754.13, 18,980.92 and 7,466.50 is: 10,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.13 : 18,980.92 = 7,466.50 : x
  2. Step 2: Convert to fraction form
    13,754.13/18,980.92 = 7,466.50/x
  3. Step 3: Cross multiply
    13,754.13x = 18,980.92 × 7,466.50
  4. Step 4: Simplify right side
    13,754.13x = 141,721,057.85
  5. Step 5: Solve for x
    x = 141,721,057.85/13,754.13
  6. Step 6: Final answer
    x = 10,303.89

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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.