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Finding the Fourth Proportional to 16,189.45, 22,308.14 and 12,412.42

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Solution

The fourth proportional to 16,189.45, 22,308.14 and 12,412.42 is: 17,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.45 : 22,308.14 = 12,412.42 : x
  2. Step 2: Convert to fraction form
    16,189.45/22,308.14 = 12,412.42/x
  3. Step 3: Cross multiply
    16,189.45x = 22,308.14 × 12,412.42
  4. Step 4: Simplify right side
    16,189.45x = 276,897,829.50
  5. Step 5: Solve for x
    x = 276,897,829.50/16,189.45
  6. Step 6: Final answer
    x = 17,103.60

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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.