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Finding the Fourth Proportional to 14,068.29, 19,414.02 and 7,694.74

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Solution

The fourth proportional to 14,068.29, 19,414.02 and 7,694.74 is: 10,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.29 : 19,414.02 = 7,694.74 : x
  2. Step 2: Convert to fraction form
    14,068.29/19,414.02 = 7,694.74/x
  3. Step 3: Cross multiply
    14,068.29x = 19,414.02 × 7,694.74
  4. Step 4: Simplify right side
    14,068.29x = 149,385,787.72
  5. Step 5: Solve for x
    x = 149,385,787.72/14,068.29
  6. Step 6: Final answer
    x = 10,618.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.