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Finding the Fourth Proportional to 12,767.92, 19,152.02 and 3,884.69

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Solution

The fourth proportional to 12,767.92, 19,152.02 and 3,884.69 is: 5,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.92 : 19,152.02 = 3,884.69 : x
  2. Step 2: Convert to fraction form
    12,767.92/19,152.02 = 3,884.69/x
  3. Step 3: Cross multiply
    12,767.92x = 19,152.02 × 3,884.69
  4. Step 4: Simplify right side
    12,767.92x = 74,399,707.24
  5. Step 5: Solve for x
    x = 74,399,707.24/12,767.92
  6. Step 6: Final answer
    x = 5,827.08

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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.