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Finding the Fourth Proportional to 39,546.34, 59,322.66 and 11,466.88

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Solution

The fourth proportional to 39,546.34, 59,322.66 and 11,466.88 is: 17,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,546.34 : 59,322.66 = 11,466.88 : x
  2. Step 2: Convert to fraction form
    39,546.34/59,322.66 = 11,466.88/x
  3. Step 3: Cross multiply
    39,546.34x = 59,322.66 × 11,466.88
  4. Step 4: Simplify right side
    39,546.34x = 680,245,823.50
  5. Step 5: Solve for x
    x = 680,245,823.50/39,546.34
  6. Step 6: Final answer
    x = 17,201.23

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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.