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Finding the Fourth Proportional to 16,409.40, 24,614.10 and 14,623.80

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Solution

The fourth proportional to 16,409.40, 24,614.10 and 14,623.80 is: 21,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.40 : 24,614.10 = 14,623.80 : x
  2. Step 2: Convert to fraction form
    16,409.40/24,614.10 = 14,623.80/x
  3. Step 3: Cross multiply
    16,409.40x = 24,614.10 × 14,623.80
  4. Step 4: Simplify right side
    16,409.40x = 359,951,675.58
  5. Step 5: Solve for x
    x = 359,951,675.58/16,409.40
  6. Step 6: Final answer
    x = 21,935.70

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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.