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Finding the Fourth Proportional to 16,348.60, 24,474.30 and 9,771.40

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Solution

The fourth proportional to 16,348.60, 24,474.30 and 9,771.40 is: 14,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.60 : 24,474.30 = 9,771.40 : x
  2. Step 2: Convert to fraction form
    16,348.60/24,474.30 = 9,771.40/x
  3. Step 3: Cross multiply
    16,348.60x = 24,474.30 × 9,771.40
  4. Step 4: Simplify right side
    16,348.60x = 239,148,175.02
  5. Step 5: Solve for x
    x = 239,148,175.02/16,348.60
  6. Step 6: Final answer
    x = 14,628.05

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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.