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Finding the Fourth Proportional to 13,754.25, 18,980.82 and 7,466.58

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Solution

The fourth proportional to 13,754.25, 18,980.82 and 7,466.58 is: 10,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.25 : 18,980.82 = 7,466.58 : x
  2. Step 2: Convert to fraction form
    13,754.25/18,980.82 = 7,466.58/x
  3. Step 3: Cross multiply
    13,754.25x = 18,980.82 × 7,466.58
  4. Step 4: Simplify right side
    13,754.25x = 141,721,811.00
  5. Step 5: Solve for x
    x = 141,721,811.00/13,754.25
  6. Step 6: Final answer
    x = 10,303.86

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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.