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Finding the Fourth Proportional to 16,302, 24,436.44 and 6,427.72

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Solution

The fourth proportional to 16,302, 24,436.44 and 6,427.72 is: 9,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302 : 24,436.44 = 6,427.72 : x
  2. Step 2: Convert to fraction form
    16,302/24,436.44 = 6,427.72/x
  3. Step 3: Cross multiply
    16,302x = 24,436.44 × 6,427.72
  4. Step 4: Simplify right side
    16,302x = 157,070,594.12
  5. Step 5: Solve for x
    x = 157,070,594.12/16,302
  6. Step 6: Final answer
    x = 9,635.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.