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Finding the Fourth Proportional to 21,384.88, 32,106.41 and 12,031.48

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Solution

The fourth proportional to 21,384.88, 32,106.41 and 12,031.48 is: 18,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.88 : 32,106.41 = 12,031.48 : x
  2. Step 2: Convert to fraction form
    21,384.88/32,106.41 = 12,031.48/x
  3. Step 3: Cross multiply
    21,384.88x = 32,106.41 × 12,031.48
  4. Step 4: Simplify right side
    21,384.88x = 386,287,629.79
  5. Step 5: Solve for x
    x = 386,287,629.79/21,384.88
  6. Step 6: Final answer
    x = 18,063.59

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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.