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Finding the Fourth Proportional to 12,862.94, 19,294.20 and 4,097.79

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Solution

The fourth proportional to 12,862.94, 19,294.20 and 4,097.79 is: 6,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.94 : 19,294.20 = 4,097.79 : x
  2. Step 2: Convert to fraction form
    12,862.94/19,294.20 = 4,097.79/x
  3. Step 3: Cross multiply
    12,862.94x = 19,294.20 × 4,097.79
  4. Step 4: Simplify right side
    12,862.94x = 79,063,579.82
  5. Step 5: Solve for x
    x = 79,063,579.82/12,862.94
  6. Step 6: Final answer
    x = 6,146.62

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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.