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Finding the Fourth Proportional to 16,397.40, 24,563.70 and 9,463.80

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Solution

The fourth proportional to 16,397.40, 24,563.70 and 9,463.80 is: 14,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.40 : 24,563.70 = 9,463.80 : x
  2. Step 2: Convert to fraction form
    16,397.40/24,563.70 = 9,463.80/x
  3. Step 3: Cross multiply
    16,397.40x = 24,563.70 × 9,463.80
  4. Step 4: Simplify right side
    16,397.40x = 232,465,944.06
  5. Step 5: Solve for x
    x = 232,465,944.06/16,397.40
  6. Step 6: Final answer
    x = 14,177.00

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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.