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Finding the Fourth Proportional to 23,624.94, 35,437.31 and 16,206.87

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Solution

The fourth proportional to 23,624.94, 35,437.31 and 16,206.87 is: 24,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.94 : 35,437.31 = 16,206.87 : x
  2. Step 2: Convert to fraction form
    23,624.94/35,437.31 = 16,206.87/x
  3. Step 3: Cross multiply
    23,624.94x = 35,437.31 × 16,206.87
  4. Step 4: Simplify right side
    23,624.94x = 574,327,795.29
  5. Step 5: Solve for x
    x = 574,327,795.29/23,624.94
  6. Step 6: Final answer
    x = 24,310.23

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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.