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Finding the Fourth Proportional to 16,191.34, 22,343.40 and 9,118.06

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Solution

The fourth proportional to 16,191.34, 22,343.40 and 9,118.06 is: 12,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.34 : 22,343.40 = 9,118.06 : x
  2. Step 2: Convert to fraction form
    16,191.34/22,343.40 = 9,118.06/x
  3. Step 3: Cross multiply
    16,191.34x = 22,343.40 × 9,118.06
  4. Step 4: Simplify right side
    16,191.34x = 203,728,461.80
  5. Step 5: Solve for x
    x = 203,728,461.80/16,191.34
  6. Step 6: Final answer
    x = 12,582.56

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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.