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Finding the Fourth Proportional to 16,483.40, 22,743.68 and 9,412.12

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Solution

The fourth proportional to 16,483.40, 22,743.68 and 9,412.12 is: 12,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.40 : 22,743.68 = 9,412.12 : x
  2. Step 2: Convert to fraction form
    16,483.40/22,743.68 = 9,412.12/x
  3. Step 3: Cross multiply
    16,483.40x = 22,743.68 × 9,412.12
  4. Step 4: Simplify right side
    16,483.40x = 214,066,245.40
  5. Step 5: Solve for x
    x = 214,066,245.40/16,483.40
  6. Step 6: Final answer
    x = 12,986.78

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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.