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Finding the Fourth Proportional to 13,129.67, 18,120.02 and 7,466.20

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Solution

The fourth proportional to 13,129.67, 18,120.02 and 7,466.20 is: 10,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.67 : 18,120.02 = 7,466.20 : x
  2. Step 2: Convert to fraction form
    13,129.67/18,120.02 = 7,466.20/x
  3. Step 3: Cross multiply
    13,129.67x = 18,120.02 × 7,466.20
  4. Step 4: Simplify right side
    13,129.67x = 135,287,693.32
  5. Step 5: Solve for x
    x = 135,287,693.32/13,129.67
  6. Step 6: Final answer
    x = 10,303.97

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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.