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Finding the Fourth Proportional to 16,500, 22,760.69 and 9,779.03

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Solution

The fourth proportional to 16,500, 22,760.69 and 9,779.03 is: 13,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500 : 22,760.69 = 9,779.03 : x
  2. Step 2: Convert to fraction form
    16,500/22,760.69 = 9,779.03/x
  3. Step 3: Cross multiply
    16,500x = 22,760.69 × 9,779.03
  4. Step 4: Simplify right side
    16,500x = 222,577,307.63
  5. Step 5: Solve for x
    x = 222,577,307.63/16,500
  6. Step 6: Final answer
    x = 13,489.53

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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.