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Finding the Fourth Proportional to 34,204.41, 51,309.54 and 9,244.35

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Solution

The fourth proportional to 34,204.41, 51,309.54 and 9,244.35 is: 13,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.41 : 51,309.54 = 9,244.35 : x
  2. Step 2: Convert to fraction form
    34,204.41/51,309.54 = 9,244.35/x
  3. Step 3: Cross multiply
    34,204.41x = 51,309.54 × 9,244.35
  4. Step 4: Simplify right side
    34,204.41x = 474,323,346.10
  5. Step 5: Solve for x
    x = 474,323,346.10/34,204.41
  6. Step 6: Final answer
    x = 13,867.32

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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.