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Finding the Fourth Proportional to 34,546.88, 51,823.56 and 13,772

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Solution

The fourth proportional to 34,546.88, 51,823.56 and 13,772 is: 20,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,546.88 : 51,823.56 = 13,772 : x
  2. Step 2: Convert to fraction form
    34,546.88/51,823.56 = 13,772/x
  3. Step 3: Cross multiply
    34,546.88x = 51,823.56 × 13,772
  4. Step 4: Simplify right side
    34,546.88x = 713,714,068.32
  5. Step 5: Solve for x
    x = 713,714,068.32/34,546.88
  6. Step 6: Final answer
    x = 20,659.29

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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.