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Finding the Fourth Proportional to 15,811.84, 21,819.48 and 8,737.84

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Solution

The fourth proportional to 15,811.84, 21,819.48 and 8,737.84 is: 12,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.84 : 21,819.48 = 8,737.84 : x
  2. Step 2: Convert to fraction form
    15,811.84/21,819.48 = 8,737.84/x
  3. Step 3: Cross multiply
    15,811.84x = 21,819.48 × 8,737.84
  4. Step 4: Simplify right side
    15,811.84x = 190,655,016.03
  5. Step 5: Solve for x
    x = 190,655,016.03/15,811.84
  6. Step 6: Final answer
    x = 12,057.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.