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Finding the Fourth Proportional to 12,834, 19,254.24 and 3,600

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Solution

The fourth proportional to 12,834, 19,254.24 and 3,600 is: 5,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834 : 19,254.24 = 3,600 : x
  2. Step 2: Convert to fraction form
    12,834/19,254.24 = 3,600/x
  3. Step 3: Cross multiply
    12,834x = 19,254.24 × 3,600
  4. Step 4: Simplify right side
    12,834x = 69,315,264
  5. Step 5: Solve for x
    x = 69,315,264/12,834
  6. Step 6: Final answer
    x = 5,400.91

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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.