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Finding the Fourth Proportional to 16,964.72, 23,412.72 and 9,412.88

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Solution

The fourth proportional to 16,964.72, 23,412.72 and 9,412.88 is: 12,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.72 : 23,412.72 = 9,412.88 : x
  2. Step 2: Convert to fraction form
    16,964.72/23,412.72 = 9,412.88/x
  3. Step 3: Cross multiply
    16,964.72x = 23,412.72 × 9,412.88
  4. Step 4: Simplify right side
    16,964.72x = 220,381,123.83
  5. Step 5: Solve for x
    x = 220,381,123.83/16,964.72
  6. Step 6: Final answer
    x = 12,990.55

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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.