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Finding the Fourth Proportional to 19,466.34, 29,181.03 and 6,309.46

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Solution

The fourth proportional to 19,466.34, 29,181.03 and 6,309.46 is: 9,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,466.34 : 29,181.03 = 6,309.46 : x
  2. Step 2: Convert to fraction form
    19,466.34/29,181.03 = 6,309.46/x
  3. Step 3: Cross multiply
    19,466.34x = 29,181.03 × 6,309.46
  4. Step 4: Simplify right side
    19,466.34x = 184,116,541.54
  5. Step 5: Solve for x
    x = 184,116,541.54/19,466.34
  6. Step 6: Final answer
    x = 9,458.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.