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Finding the Fourth Proportional to 15,821.84, 23,736.36 and 8,422.40

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Solution

The fourth proportional to 15,821.84, 23,736.36 and 8,422.40 is: 12,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.84 : 23,736.36 = 8,422.40 : x
  2. Step 2: Convert to fraction form
    15,821.84/23,736.36 = 8,422.40/x
  3. Step 3: Cross multiply
    15,821.84x = 23,736.36 × 8,422.40
  4. Step 4: Simplify right side
    15,821.84x = 199,917,118.46
  5. Step 5: Solve for x
    x = 199,917,118.46/15,821.84
  6. Step 6: Final answer
    x = 12,635.52

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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.