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Finding the Fourth Proportional to 13,596.64, 20,386.64 and 12,436.42

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Solution

The fourth proportional to 13,596.64, 20,386.64 and 12,436.42 is: 18,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596.64 : 20,386.64 = 12,436.42 : x
  2. Step 2: Convert to fraction form
    13,596.64/20,386.64 = 12,436.42/x
  3. Step 3: Cross multiply
    13,596.64x = 20,386.64 × 12,436.42
  4. Step 4: Simplify right side
    13,596.64x = 253,536,817.43
  5. Step 5: Solve for x
    x = 253,536,817.43/13,596.64
  6. Step 6: Final answer
    x = 18,647.02

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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.