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Finding the Fourth Proportional to 16,412.30, 22,645.98 and 9,241.10

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Solution

The fourth proportional to 16,412.30, 22,645.98 and 9,241.10 is: 12,751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.30 : 22,645.98 = 9,241.10 : x
  2. Step 2: Convert to fraction form
    16,412.30/22,645.98 = 9,241.10/x
  3. Step 3: Cross multiply
    16,412.30x = 22,645.98 × 9,241.10
  4. Step 4: Simplify right side
    16,412.30x = 209,273,652.55
  5. Step 5: Solve for x
    x = 209,273,652.55/16,412.30
  6. Step 6: Final answer
    x = 12,751.03

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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.