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Finding the Fourth Proportional to 16,438.68, 24,654.38 and 9,866.75

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Solution

The fourth proportional to 16,438.68, 24,654.38 and 9,866.75 is: 14,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.68 : 24,654.38 = 9,866.75 : x
  2. Step 2: Convert to fraction form
    16,438.68/24,654.38 = 9,866.75/x
  3. Step 3: Cross multiply
    16,438.68x = 24,654.38 × 9,866.75
  4. Step 4: Simplify right side
    16,438.68x = 243,258,431.26
  5. Step 5: Solve for x
    x = 243,258,431.26/16,438.68
  6. Step 6: Final answer
    x = 14,797.93

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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.