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Finding the Fourth Proportional to 12,234.60, 18,330.30 and 10,031.40

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Solution

The fourth proportional to 12,234.60, 18,330.30 and 10,031.40 is: 15,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.60 : 18,330.30 = 10,031.40 : x
  2. Step 2: Convert to fraction form
    12,234.60/18,330.30 = 10,031.40/x
  3. Step 3: Cross multiply
    12,234.60x = 18,330.30 × 10,031.40
  4. Step 4: Simplify right side
    12,234.60x = 183,878,571.42
  5. Step 5: Solve for x
    x = 183,878,571.42/12,234.60
  6. Step 6: Final answer
    x = 15,029.39

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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.