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Finding the Fourth Proportional to 16,427.24, 24,639.60 and 6,038

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Solution

The fourth proportional to 16,427.24, 24,639.60 and 6,038 is: 9,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.24 : 24,639.60 = 6,038 : x
  2. Step 2: Convert to fraction form
    16,427.24/24,639.60 = 6,038/x
  3. Step 3: Cross multiply
    16,427.24x = 24,639.60 × 6,038
  4. Step 4: Simplify right side
    16,427.24x = 148,773,904.80
  5. Step 5: Solve for x
    x = 148,773,904.80/16,427.24
  6. Step 6: Final answer
    x = 9,056.54

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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.