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Finding the Fourth Proportional to 16,191.74, 22,346.73 and 9,119.54

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Solution

The fourth proportional to 16,191.74, 22,346.73 and 9,119.54 is: 12,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.74 : 22,346.73 = 9,119.54 : x
  2. Step 2: Convert to fraction form
    16,191.74/22,346.73 = 9,119.54/x
  3. Step 3: Cross multiply
    16,191.74x = 22,346.73 × 9,119.54
  4. Step 4: Simplify right side
    16,191.74x = 203,791,898.10
  5. Step 5: Solve for x
    x = 203,791,898.10/16,191.74
  6. Step 6: Final answer
    x = 12,586.16

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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.