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Finding the Fourth Proportional to 16,527.42, 22,808.00 and 8,973.83

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Solution

The fourth proportional to 16,527.42, 22,808.00 and 8,973.83 is: 12,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.42 : 22,808.00 = 8,973.83 : x
  2. Step 2: Convert to fraction form
    16,527.42/22,808.00 = 8,973.83/x
  3. Step 3: Cross multiply
    16,527.42x = 22,808.00 × 8,973.83
  4. Step 4: Simplify right side
    16,527.42x = 204,675,069.77
  5. Step 5: Solve for x
    x = 204,675,069.77/16,527.42
  6. Step 6: Final answer
    x = 12,383.97

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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.