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Finding the Fourth Proportional to 14,105.71, 19,464.98 and 7,731.18

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Solution

The fourth proportional to 14,105.71, 19,464.98 and 7,731.18 is: 10,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.71 : 19,464.98 = 7,731.18 : x
  2. Step 2: Convert to fraction form
    14,105.71/19,464.98 = 7,731.18/x
  3. Step 3: Cross multiply
    14,105.71x = 19,464.98 × 7,731.18
  4. Step 4: Simplify right side
    14,105.71x = 150,487,264.08
  5. Step 5: Solve for x
    x = 150,487,264.08/14,105.71
  6. Step 6: Final answer
    x = 10,668.54

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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.