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Finding the Fourth Proportional to 30,364.02, 45,550.86 and 12,834

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Solution

The fourth proportional to 30,364.02, 45,550.86 and 12,834 is: 19,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364.02 : 45,550.86 = 12,834 : x
  2. Step 2: Convert to fraction form
    30,364.02/45,550.86 = 12,834/x
  3. Step 3: Cross multiply
    30,364.02x = 45,550.86 × 12,834
  4. Step 4: Simplify right side
    30,364.02x = 584,599,737.24
  5. Step 5: Solve for x
    x = 584,599,737.24/30,364.02
  6. Step 6: Final answer
    x = 19,253.04

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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.