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Finding the Fourth Proportional to 15,342.84, 23,006.99 and 5,344.10

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Solution

The fourth proportional to 15,342.84, 23,006.99 and 5,344.10 is: 8,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.84 : 23,006.99 = 5,344.10 : x
  2. Step 2: Convert to fraction form
    15,342.84/23,006.99 = 5,344.10/x
  3. Step 3: Cross multiply
    15,342.84x = 23,006.99 × 5,344.10
  4. Step 4: Simplify right side
    15,342.84x = 122,951,577.45
  5. Step 5: Solve for x
    x = 122,951,577.45/15,342.84
  6. Step 6: Final answer
    x = 8,013.61

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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.