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Finding the Fourth Proportional to 21,053.12, 31,532.16 and 12,274.88

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Solution

The fourth proportional to 21,053.12, 31,532.16 and 12,274.88 is: 18,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053.12 : 31,532.16 = 12,274.88 : x
  2. Step 2: Convert to fraction form
    21,053.12/31,532.16 = 12,274.88/x
  3. Step 3: Cross multiply
    21,053.12x = 31,532.16 × 12,274.88
  4. Step 4: Simplify right side
    21,053.12x = 387,053,480.14
  5. Step 5: Solve for x
    x = 387,053,480.14/21,053.12
  6. Step 6: Final answer
    x = 18,384.61

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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.