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Finding the Fourth Proportional to 16,405.30, 24,549.63 and 9,445.78

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Solution

The fourth proportional to 16,405.30, 24,549.63 and 9,445.78 is: 14,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.30 : 24,549.63 = 9,445.78 : x
  2. Step 2: Convert to fraction form
    16,405.30/24,549.63 = 9,445.78/x
  3. Step 3: Cross multiply
    16,405.30x = 24,549.63 × 9,445.78
  4. Step 4: Simplify right side
    16,405.30x = 231,890,404.06
  5. Step 5: Solve for x
    x = 231,890,404.06/16,405.30
  6. Step 6: Final answer
    x = 14,135.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.