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Finding the Fourth Proportional to 12,336.40, 18,472.20 and 9,031.60

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Solution

The fourth proportional to 12,336.40, 18,472.20 and 9,031.60 is: 13,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336.40 : 18,472.20 = 9,031.60 : x
  2. Step 2: Convert to fraction form
    12,336.40/18,472.20 = 9,031.60/x
  3. Step 3: Cross multiply
    12,336.40x = 18,472.20 × 9,031.60
  4. Step 4: Simplify right side
    12,336.40x = 166,833,521.52
  5. Step 5: Solve for x
    x = 166,833,521.52/12,336.40
  6. Step 6: Final answer
    x = 13,523.68

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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.