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Finding the Fourth Proportional to 16,109.76, 22,231.68 and 12,069.42

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Solution

The fourth proportional to 16,109.76, 22,231.68 and 12,069.42 is: 16,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.76 : 22,231.68 = 12,069.42 : x
  2. Step 2: Convert to fraction form
    16,109.76/22,231.68 = 12,069.42/x
  3. Step 3: Cross multiply
    16,109.76x = 22,231.68 × 12,069.42
  4. Step 4: Simplify right side
    16,109.76x = 268,323,483.23
  5. Step 5: Solve for x
    x = 268,323,483.23/16,109.76
  6. Step 6: Final answer
    x = 16,655.96

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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.