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Finding the Fourth Proportional to 12,800.84, 19,213.25 and 7,880.09

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Solution

The fourth proportional to 12,800.84, 19,213.25 and 7,880.09 is: 11,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.84 : 19,213.25 = 7,880.09 : x
  2. Step 2: Convert to fraction form
    12,800.84/19,213.25 = 7,880.09/x
  3. Step 3: Cross multiply
    12,800.84x = 19,213.25 × 7,880.09
  4. Step 4: Simplify right side
    12,800.84x = 151,402,048.05
  5. Step 5: Solve for x
    x = 151,402,048.05/12,800.84
  6. Step 6: Final answer
    x = 11,827.51

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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.