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Finding the Fourth Proportional to 21,208.84, 31,813.05 and 12,891.15

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Solution

The fourth proportional to 21,208.84, 31,813.05 and 12,891.15 is: 19,336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.84 : 31,813.05 = 12,891.15 : x
  2. Step 2: Convert to fraction form
    21,208.84/31,813.05 = 12,891.15/x
  3. Step 3: Cross multiply
    21,208.84x = 31,813.05 × 12,891.15
  4. Step 4: Simplify right side
    21,208.84x = 410,106,799.51
  5. Step 5: Solve for x
    x = 410,106,799.51/21,208.84
  6. Step 6: Final answer
    x = 19,336.60

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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.