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Finding the Fourth Proportional to 23,705.84, 35,564.16 and 8,122.52

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Solution

The fourth proportional to 23,705.84, 35,564.16 and 8,122.52 is: 12,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.84 : 35,564.16 = 8,122.52 : x
  2. Step 2: Convert to fraction form
    23,705.84/35,564.16 = 8,122.52/x
  3. Step 3: Cross multiply
    23,705.84x = 35,564.16 × 8,122.52
  4. Step 4: Simplify right side
    23,705.84x = 288,870,600.88
  5. Step 5: Solve for x
    x = 288,870,600.88/23,705.84
  6. Step 6: Final answer
    x = 12,185.63

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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.