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Finding the Fourth Proportional to 12,794.16, 19,194.54 and 5,000.40

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Solution

The fourth proportional to 12,794.16, 19,194.54 and 5,000.40 is: 7,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.16 : 19,194.54 = 5,000.40 : x
  2. Step 2: Convert to fraction form
    12,794.16/19,194.54 = 5,000.40/x
  3. Step 3: Cross multiply
    12,794.16x = 19,194.54 × 5,000.40
  4. Step 4: Simplify right side
    12,794.16x = 95,980,377.82
  5. Step 5: Solve for x
    x = 95,980,377.82/12,794.16
  6. Step 6: Final answer
    x = 7,501.89

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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.