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Finding the Fourth Proportional to 16,405.93, 22,647.90 and 12,374.43

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Solution

The fourth proportional to 16,405.93, 22,647.90 and 12,374.43 is: 17,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.93 : 22,647.90 = 12,374.43 : x
  2. Step 2: Convert to fraction form
    16,405.93/22,647.90 = 12,374.43/x
  3. Step 3: Cross multiply
    16,405.93x = 22,647.90 × 12,374.43
  4. Step 4: Simplify right side
    16,405.93x = 280,254,853.20
  5. Step 5: Solve for x
    x = 280,254,853.20/16,405.93
  6. Step 6: Final answer
    x = 17,082.53

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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.