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Finding the Fourth Proportional to 16,561.63, 24,842.31 and 6,700.76

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Solution

The fourth proportional to 16,561.63, 24,842.31 and 6,700.76 is: 10,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.63 : 24,842.31 = 6,700.76 : x
  2. Step 2: Convert to fraction form
    16,561.63/24,842.31 = 6,700.76/x
  3. Step 3: Cross multiply
    16,561.63x = 24,842.31 × 6,700.76
  4. Step 4: Simplify right side
    16,561.63x = 166,462,357.16
  5. Step 5: Solve for x
    x = 166,462,357.16/16,561.63
  6. Step 6: Final answer
    x = 10,051.09

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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.