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Finding the Fourth Proportional to 21,031.54, 31,509.02 and 12,239.80

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Solution

The fourth proportional to 21,031.54, 31,509.02 and 12,239.80 is: 18,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.54 : 31,509.02 = 12,239.80 : x
  2. Step 2: Convert to fraction form
    21,031.54/31,509.02 = 12,239.80/x
  3. Step 3: Cross multiply
    21,031.54x = 31,509.02 × 12,239.80
  4. Step 4: Simplify right side
    21,031.54x = 385,664,103.00
  5. Step 5: Solve for x
    x = 385,664,103.00/21,031.54
  6. Step 6: Final answer
    x = 18,337.42

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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.