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Finding the Fourth Proportional to 12,876.51, 19,322.89 and 5,480.96

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Solution

The fourth proportional to 12,876.51, 19,322.89 and 5,480.96 is: 8,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.51 : 19,322.89 = 5,480.96 : x
  2. Step 2: Convert to fraction form
    12,876.51/19,322.89 = 5,480.96/x
  3. Step 3: Cross multiply
    12,876.51x = 19,322.89 × 5,480.96
  4. Step 4: Simplify right side
    12,876.51x = 105,907,876.86
  5. Step 5: Solve for x
    x = 105,907,876.86/12,876.51
  6. Step 6: Final answer
    x = 8,224.89

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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.