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Finding the Fourth Proportional to 15,802.98, 23,705.38 and 5,942.34

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Solution

The fourth proportional to 15,802.98, 23,705.38 and 5,942.34 is: 8,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.98 : 23,705.38 = 5,942.34 : x
  2. Step 2: Convert to fraction form
    15,802.98/23,705.38 = 5,942.34/x
  3. Step 3: Cross multiply
    15,802.98x = 23,705.38 × 5,942.34
  4. Step 4: Simplify right side
    15,802.98x = 140,865,435.14
  5. Step 5: Solve for x
    x = 140,865,435.14/15,802.98
  6. Step 6: Final answer
    x = 8,913.85

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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.